Training without a bench for years, the honest summary is: the push-up is not a compromise until you are quite strong, and then it becomes one.
For the first year or two, weighted push-ups and their harder variations will take you as far as you want to go, and the trunk work is a genuine bonus rather than a consolation.
The point where it starts to matter is when you need real load in small controllable increments to keep progressing, because that is what a barbell is uniquely good at. Adding two and a half kilos to a bar is trivial; adding two and a half kilos to a vest that is already heavy and shifting around is not.
Until then, the equipment is not what is limiting you.