Our 'new' house came with soffits. This is where we started, this picture was taken during the walk through with the Realtor.
We'd not really planned on doing away with the soffits, but the new refrigerator was too big to fit where the old one had been and the cabinets had to be moved up to make room for the fridge.
The soffits had been put across the window trim, too. It was original installation that way, the trim inside the soffit had never been painted. This is Hawaii, we don't have HVAC or other things hiding in soffits, there weren't even any lights in them. A lot of dirt, dust and a gecko skeleton. Ick!
I think it's better with no soffits, although I've still not managed doors yet to cover the holes where the soffits used to be. I'm now thinking for better ventilation, it might be nice to have a curtain across them instead. That would also be a quick and easy fix, too.