Well the timebase is the same for both channels during zoom. I am not sure there is such things as per-channel timebase (obviously does not quite make sense, either). And this is what I would expect the zoom to work.
Yes, just because we have demonstrated vertical zoom.
Select the main or secondary timebase to make the necessary adjustment and whatever channel to engage vertical zoom with V/div and level adjustment.
Toggle between the split display by touch, mouse or channel tab to engage each to the timebase and/or vertical control.
Look for the dotted border change indicating which zoom window you are in.
Much more powerful than your old X-E but I do understand you're trying to get your head around it.
Work with what you have on your new SDS2kX Plus and shortly it will come naturally.