Due to continuing issues with the Delete Hole option, I recommend you close the gap manually:
- Select all tracks.
- Sweep in the timeline with snap at 1/4 to select the time range.
- Right-click and choose Split, set to 'Split at Selection', and OK.
- Select the split region and Delete Special with everything checked
except Delete Hole.
- Select everything to the right and drag to fill the hole with Snap
By enabled at 1/4.
If you have automation and tempo/meter changes in the region, you might need to create some new automation nodes around the section to be deleted, and do the move by Cut Special-Paste Special to make sure everything moves.
Also, if there are any MIDI notes crossing the split boundaries, you should either edit them in advance, or decide whether or not to use Non-destructive MIDI Editing when splitting. With it enabled, notes will be truncated at the boundaries by slip-editing; without it, notes will get deleted in their entirety.