As of today it can run Logic Pro. The feature parity is there, most people consider using one or the other a matter of personal preference.
For musicians (professional or semi-pro) that use Logic on a laptop the feature parity is nowhere there. They depend on tens of AUs ("VSTs") that aren't available on the iPad for example, on top of lots of other stuff.
Biggest issue on iPad is lack of device drivers. Class Compliant audio only gets you so far.
Of course ableton comes with a pretty good array of instruments and effects, so maybe this isn’t that big a deal.
But the context in this subthread was addressing the parent's claim that Logic on iPadOS has complete parity with Logic macOS and can replace it in its use - not Push.