I'd think it would be good to enforce time exactly because those extra minutes tend to have meaning. Like she's rewarding you if she gives you extra time or rejecting you if she finishes a minute or two early or just doesn't give you extra time. It's important for a T to be consistent and predictable, it can cause anxiety if they're not.

In any case, it seems like it might be good for you to try going with this T's approach. You seem pretty entrenched in your views on how she should act etc. and I think that's bound to lead to some disappointment with anyone. Maybe you have trouble being open-minded?