I voted no, but mostly because it doesn't really make sense. I mean, obviously getting to temples faster would help religion play more, but that's a larger change.
IMO the problem is one of timing. Early game, faith is slow to come online, and production is a real challenge, so it's just very hard to do everything when you need to expand and build an army too. The real challenge for me at that point is that the drama and poetry eureka is a very tough one to get, since it's incredibly rare that I can get in a wonder by then. So to hard-research drama is a challenge, and then when you also factor in that the recorded history policy card for doubling campuses is virtually essential to keep you moving forward too, it just means that temples come very late.