A friend and I are on the 22PM turn of the La Gleize CG. As my friend says, this is the most 'nuanced' CG in the pack and contrasts strongly with the Stoumont CG. La Gleize is an interesting CG but not for everyone.
My opinion as the German player is, the German wins by striking a 'knockout blow' on the Americans early on (that is, 19N/20AM/20PM, forcing an American Player Morale Check of at least a 2MC ;-) . Fail at this and you'll have to fight a Kesselschlact. (That is, a 'kettle battle' / fight in a pocket). A game which goes on to the last CG date probably will not end well for the German.
For the German, La Gleize is fun to play for the first few CG dates. Once you run out of gas and ammo, it's not exactly 'fun' anymore. The German forces are built for the attack. To have to dig in and take it is not all that interesting. As the game goes on, German capabilities diminish and the German player must shepherd is remaining fueled and functioning AFVs for a counter-attack using one of the few, precious Attack chits to retake 'must have' terrain and/or inflict significant casualties on the Americans at a vulnerable point in his line. Speaking of digging-in, you are going to need a lot of Foxholes, otherwise the ceaseless American artillery and mortar fire is not survivable. Did I mention the pre-game bombardment? Any unit caught in the woods or even a building is going to have a problem.
The American wins by playing coy early on to reduce his casualties, selectively holding terrain to keep the German boxed-in while attriting with artillery. The American player needs to plan to play to the last CG date and shepherd his resources for a decisive attack, probably on the last day, when the Germans are at their weakest. The American can't be idle and must take some victory point locations to both set himself up in good terrain for the attack and start accumulating victory points. If he gets too far behind because he's let the German hold most the map, he won't be able to make it up later. Even so, for the American player this is definitely a war of attrition.