Ref: Charliehustle10's question.
Even if it was legal to carry openly while impaired, something I doubt an LEO would allow, and you started making a scene in public, i.e. talking really loudly, cursing, or just doing any thing that would normally just be considered slightly obnoxious to others, a weapon on your body in plain sight would just amp up the intensity level of everyone else that much more, maybe enough to call a cop over to you.
Then you have the b.s. GATTOP charge (which, from what I understand, is officer's discretion and very broad) to deal with or possession of a firearm while impaired (which may not even be illegal but just enough to have your gun seized and get charged then beat it in court maybe.)
Also, I'm thinking if you needed to use deadly force and were intoxicated at all, even if justified, that probably wouldn't turn out to great for you. God forbid you end up being so intoxicated you make the wrong call....
I would just decide not to ever carry open while impaired. Just stow my h.g. in the trunk before I drink and carry it into my house and that's it. However, I think I saw a clause somewhere about nothing should prohibit a person from carrying while intoxicated on their own property....regardless, if I'm having a couple of beers around dinner time, or not, I always carry at home. If I end up drinking 4 or more, I will usually disarm just to get my wife off my back.