OK - I guess I buck the trend on this one so don't get mad at me.

I have owned a base model P365 for about 6 years now and would not consider installing any red dot or optic on it. IMHO and for me, the P365 has one purpose and that is as a self defense, CCW, EDC gun. I am not taking shots at 25 yards and 50 feet (just for personal satisfaction) is about the farthest I ever shoot my P365 at. 5-7 yards is what I consider about perfect for SD training and I see no reason for an optical sight at that distance.
Red dot sights do fail, do get knocked out of adjustment, do require batteries, do require special holsters, do add weight and bulk for CCW and are somewhat more difficult to pick up fast under certain conditions. I also believe that at 5 yards or less optical sights are not at all needed. Factory sights on the P365 are stuck on there like glue! They will never move under normal use or even rough use. They also glow in the dark - for what that is worth.
If you tell me you are going to shoot at 25 + yards than maybe, but I would not think so. IMHO optical sights do have their place for hunting, competition or precision shooting all of which the P365 would not be the best choice for.
OK -I doubt you wanted to hear my response but that is my honest feeling and answer. That said, I would would not take the factory sights off - I'd remove the red dot - but that is just my opinion for what that is worth. IMO many have come to rely on exotic gadgets for something that should (IMO) be as simple, reliable and easy as possible to operate, use and acquire great skills with. Selling optical sights for SD pistols used at close distances is more of a marketing money maker than advantage. OK - I admit I am a stubborn, old fart that learned and practice the basics. I do not like relying on more technology when life is at stake.