I am regularly in these situations when I think backing in is best, assuming I can do so safely without disrupting other cars and people. Pull through is not an option for any of them.
Kid activity pickup when there are about to be a bunch of oblivious kids walking around as I’m trying to leave
Taking my dog somewhere I prefer to open the back hatch to let her out on the outside edge of the lot rather than in the middle
Trailhead parking on the side of a busy, narrow, winding road