I can replicate the problem of the missing default Pushback and I think I found the cause, but the GPU works fine and can be called.
Note that, with "default Pushback" and "default GPU", I mean the default services that are called from the ATC menu. However, with GSX installed, they will LOOK like GSX vehicles, even if they are still default ground vehicles.
When you open the GSX menu, they will be removed to be replaced by GSX-proper vehicles, which in many cases might look identical, but are GSX vehicles controlled by GSX.