If you've got in/out and use lift in Premiere, the in/out disappear. The gap stays there.
To auto-insert something there, you'd need to have the playhead/CTI at the in-point before lifting. Depending on whether you used Insert or Overwrite, it would either add the new clip and move everything to the right, or simply add the new clip and overwrite anything it overlapped.
To do essentially a 3/4 point edit, you'd need to reset the the in & out points (out point 1 frame left of the next clip). Then with an in or out set on a clip in the Source monitor, it would fill the gap using an Overwrite move.
Thanks Neil for the response. Understood. That's not exactly the scenario I'm after, but it's close (the patching after the lift in my scenario above is the issue here). I suppose I'm just used to using the IN and OUT points as pivot points after I've lifted clips in Avid and I'm finding the disposal of these bits of information to be unnecessary. I guess there's no simple setting to prevent Premiere Pro from behaving in this way.
No worries. I'm sure I'll get used to it. Perhaps I can write a little script to store current IN to OUTs in ExtendScript and replace them again if needs be.