I feel that this is an area that has been neglected from the focus of the Push workflow.
For those of us about to purchase Push this seems like a large omission from the full potential of this amazing controller. I've been having a huge internal struggle deciding whether I would be better off getting Maschine or MPC Ren instead and I'm sure LOTS of others will be thinking the same thing.
There are 2 things I think that would really help sell Push to MPC & Maschine users who are looking to get away from the mouse and keyboard for this particular strain of sound design..
1. Non-destructive sample chopping. (Live already has this with 'Slice to new Midi Track')
2. Sampling straight to drumRack Pads.
Non-destructive sample chopping
I think I would be happy enough if Ableton enabled; real-time transient marker threshold, adding/deleting transient marks, adding/deleting warp markers, slicing to new midi track & start/end marker control from Push. This would be enough to be able to get some rudimentary real-time sound design. Especially if you create some personal slicing presents to how you like to work.
Further advanced sample editing would be ideal if we could somehow move the start/end markers in the sample window. For those stray transients that don't pick up the right part of a sample. Simply having the ability to MIDI map the sample Start/Length isn't enough on longer samples and which also don't allow you to go beyond the start/end markers.
Sampling straight to drumRack Pads.
https://www.youtube.com/watch?v=-ZFY5oRrY8A this shows the ideal workflow that Push could have in terms of sampling straight to drum rack pads.
I mocked up an image of how it could be.

It's on a MIDI track but it can have audio routed to it and the recorded result can go straight to the currently selected Simpler or Sampler audio slot.
On the signal level bar you have 3 arrows. Right most one is signal level.
On the left you have record start and finish thresholds if the Arm button is selected, or you can just start recording immediately with the Rec button.
I wasn't sure if this also needed an 'Audio To' drop down box for more control of the routing within the drumRack.
Final statement for this topic: ***Everything should be MIDI mappable.***