First of all, the situations described in the linked papers refer to situations in which someone is actively trying to cheat or to manipulate the dice, for example holding the dice close together and rolling them in a way that lessens the probability of their turning about one of the three axes, making certain outcomes more probable than others.
I think it is safe to assume that ASL players using non-precision dice (or precision dice for that matter) are not actively trying to cheat. And if they were, they could apply some of the methods described in the papers both on precision and non-precision dice.
Regarding dice towers, there might be some (this is personal guesswork) that might be more suspectible to dice sliding down the slopes inside rather than rolling - maybe acryl-material types. If you combine such a "sliding rather than rolling" dice tower with the method of entering the dice in a way that reduces movement around one of the three axes, then you might, just might bring about some changes in the outcome that could be statistically relevant.
Yet, we have to remember, that the main argument is about requiring precision dice.
And the papers you link note that you have to be a skilled dice controller for relevant effects. Which we have to reasonably assume is simply not there in our ASL tournament situation. And even if so, that skill will be at least partly negated by the use of any dice tower, or even completely by dice cups, leaving already nothing relevant to worry about. But on top of that and more importantly, can a skilled dice controller better/less control precision dice than normal dice?
With all due respect, but I have my doubts about that.
von Marwitz
Removing deliberate active cheating out of the equation, with dice that are not as fair as possible there is an element of influenced outcomes introduced.
A die that is not precision and that has an imperfection that isn't readily apparent will cause skewed results. It's amazing how often folks find these 'lucky' dice and use them with no thought to their fairness in possibilities. If your 'lucky' die gave you a reason to earn it's name due to lots of times where it bailed you out with a string of 'lucky' ROFs or whatever then there is likely something wrong with that die. Why would one wish to use that die over all others, if not to give an outcome that is tilted in one's favor?
As far as casino dice being used in dice cups or poorly designed towers:
On a personal anecdote, out of curiosity, just this week while playing at ASLOK I witnessed an event that could be considered an outlier result using casino dice. I do not believe my opponent was deliberately cheating whatsoever. However, there was an instance of multiple consecutive rolls needed for MC results in which the first roll was shaken in hand above the dice cup with the following rolls of that event made by picking up the dice and dropping them back into the cup without a shake in the hand. I didn't say anything on the first few such instances as I was curious if I could notice any strange results from the interaction of 'not being shaken, square-edged large casino dice and a very flat bottomed surface'. On the first multiple consecutive roll instance that I observed, the first roll was shaken in hand above the cup, then picked up and dropped back down. On the folow up rolls the dice bounced about very little and the result came up with one die again rolling the same '4' and the other die rolling a different result. A consecutive rolling of the dice in that instance resulted in the '4' showing up again with the other die having a different result that on the previous rolling. The third instance the '4' on the white die changed to a '2' but the other die remained the same as the previous '3'. I recorded that result and we continued on. The next series of dice rolls were 4 PTC's in a row with the same die results on the colored die on only 3 of these rolls and the white die not having same results that were consecutive. I did watch the bouncing and there was no flipping from the colored die as it jostled around in the container. It bounced about a bit, but the '2' result remained clearly on top throughout the bouncing.
The next instance, was a similar result with the initial roll result being repeated on one of the dice throughout the series of the 2 follow up rolls with little or no bouncing of the one or the other of the dice that had identical values from their previous roll value.
On the next such instance of 4 NMC's the resulting rolls had the white die roll 4 consecutive '2's and the colored die roll a '3', '3', '2', '2'. I was fixated on the white die so I didn't really notice the 'bounce' pattern of the colored die, just the result. The white die did not bounce from the '2' at all after the first roll. It bounced up in the air and off the bottom a bit with each roll. but the '2' result was on top throughout each discrete the roll.
I pointed this out to my opponent and asked him to shake the dice between each roll instead of only the first, then dropping them into the cup after that first roll.
I do not believe he was cheating as he picked up the dice in this manner on bad results as well as good results and repeated the high results on some of his rolls by the dropping method on several instances.
Following my request of asking that he remove the dice from the cup between each roll, invert his hand with the dice and shake them a little before dropping them back in the cup I did not notice any such repeat results as the dice bounced about without notice of a side remaining on top of each bounce for either die.
This is not, by any means, a valid test of die fairness. But, it is an example of how such observations of outlier results can cause concern at the table...this concern does not automatically mean that suspicion of cheating is in play. It's almost always a concern over the fairness of poorly crafted dice or a flaw in the roll mechanic. And, who needs to feel concern or be the cause of such concern when the ability to alleviate such is as simple as using known fair dice in the method they were designed for?
Precision backgammon dice in a dice tower or glass container with a bit of a shake in a palms up hand before every drop is simple enough to do and it is fair for both players.