Another consideration.
In a company where I worked before, our performance engineer told me that our performance calculations(B737) (weightbook) where considering thrust set AT brake release point. So no rolling take-off.
I don't know in how far this may be generalized to other performance tables.
So I think there ar two ways to look at your question:
from a technical point of view(systems, autothrottle etc., CRM) and from performance-side (do you meet the results of your take-off calculations if your engines are spooled up later than at brake release point).
(A rolling take-off compensates somewhat because you have already a certain speed at the theoretical brake release point)