Though the OP had this incorrect,
had a unit been pinned after a flame really did become a blaze, it would be eliminated.
I had this correct up above, but then let the EXCeption in B25.4 spin my thinking around two or three times.
[hence several edits and now this re-post]
There is an "expired" Q&A on this and though old, I think its reasoning is now reflected in the 2nd Ed. RB.
Old Q& A:
B25.4 Why must a berserk/heroic unit die in a Blaze if it is unable to exit the Location prior to the RtPh?
A. If caught in a Blaze during the RtPh, a unit that cannot break voluntarily (A10.41) may be moved at that time by its owner into an Accessible Location just as if it were Withdrawing from Melee (A11.2-.21). A berserk unit may be moved thusly even though it is not normally allowed to Withdraw from Melee, but any unit that is pinned or actually in Melee may not (even if berserk). Since this occurs in the RtPh, such units are vulnerable to Interdiction (as well as minefield/OBA attack) and ATTACKER units must still be moved first. [An90; An95w; An96; Mw]
Current RB:
B25.4 A non-pinned unit that cannot break voluntarily (
A10.41) may move during its RtPh into an Accessible Location just as if it were Withdrawing from Melee (
A11.2-.21) even if berserk. [EXC: units in Melee/
pinned may not leave during the RtPh and are eliminated].