Personal opinion and only that. If you have questions, call your surgeon's office or at least ask your home health care nurse.
Meloxicam and celecoxib both are prescription NSAIDs. Meloxicam apparently has blood-thinning properties and needs to be stopped a week before surgery. Celecoxib can be taken until the day of surgery and restarted the next day. At least, those were the instructions from my surgeon.
My pain killers are Tylenol (1000 mg, 2x per day) and celecoxib (100 mg, 2x per day). My surgery was 12/13 so I towards the beginning of week 2. My issues are at night. No recliner, unfortunately. Lying on my back (posterior approach) and sleeping on my side are the best, but the pain is dulled, not gone.
I am up around 2:30 am, when I walk for about 10 minutes after taking an Ibuprofen. I asked my home health care nurse and she said the concern, especially since I am on xarelto until Friday, is bleeding. She said one extra Ibuprofen at night for the next few weeks was fine if the moment I bump something, I immediately ice it and apply pressure to try to prevent bruise and stop any below-the-skin bleeding.
As for inflammation: Yes, it is part of the body's response to trauma, but many of the things we do such as ice and elevate, is to reduce inflammation. It contributes to pain and beyond the initial response to injury, inflammation does not contribute to healing.
BTW, my surgeon chose the SuperPath approach for me and this surgery seems to have its own set of protocols from any other types of hip surgeries (with variation among individual surgeons).