I'll be at DHS 10/9 where the park closes at 8pm. I have a 50s prime time res for 7:45, and I've seen a scifi res for 8:15. When you have a res close to or after park closing, how much more time is there to eat? Do they rush you out of there? How late do the shops close and do how long do shuttles operate after park closing?
Closing time just means you can't get into a ride line past that time. There will still be people waiting in line that entered before 8, still people eating, and still people funneling out. The shops will stay open at least an hour past closing I believe. I have never had that late an ADR so I am not sure if you will feel rushed, but I doubt they would rush you unless 2 hours later you were finished eating and chatting at the table still.