Deselect "unaffected" clips after "add edit"
Select a bunch of clips then "add edit" using keyboard shortcut. All selected clips remain selected with exception to the clip portion to the right of the playhead where the edit took place.
This will often result in the unintentional deletion of unseen clips or clips that were not immediately affected by the add edit. Personally it would make more sense to deselect all clips that aren't affected by the 'add edit' and just select the portion of the affected clip/s to the left of the playhead after the 'add edit'.