Yes it does, as long as that transformer is connected to the mains it draws its magnetizing current.
Again, just because some SMPS designs are terrible doesn't mean that that isn't the way to go to save energy. Here is my amp playing at low volume (sorry for the terrible angle, it's difficult to get the meter in there):
View attachment 274624
That's a modern class D chipamp with a SMPS and moderate power output capability of about 90Wpc/4R.
And standby:
View attachment 274625
Your examples vary quite a bit, but they are all terribly inefficient.
The thread starter is looking for a moderately powerful amp and my point is that if he lives somewhere with high electricity prices a class D amp with SMPS (not necessarily every single model out there!) will save a significant amount of power and thus money.