Like I said, it depends on the game. The use of social skills, especially in place of it being the weight of what the player says to the NPC, tends to be contentious in the OSR. Some people do use skills like that, many don't. Some use them in skillful ways to get around this issue.
In terms of 1E and 2E though, there isn't a bluff skill in those systems. You could have a CHR check for a reaction adjustment, and you may be able to find something in skills and options for it (which came late int he 90s and wasn't embraced by everyone). You may also find some optional NWP in one of the complete books. But the closest thing to a proper social skill I can think of in the 2E PHB (at least the 1989) one was Ettiquette, but that was basically a knowledge skill (you rolled and the GM told you what you new in terms of what might be expected in the social situation you were in). Maybe 1E has something, but I can't remember it if it did.
OSR skilled play has a lot of foundations: white box, variations of basic, AD&D, etc. And every OSR game is going to be a bit different. There is not reason you can't have an OSR game with Bluff in it. You certainly can. But when you look at general GM and play advice on skilled play, the norm in the OSR seems to be what I am talking about. But even if you think I am wrong on that front, it remains an important distinction. Even if it were say just a small portion of the OSR or the small portion of gamers overall, this is a type of skilled play you see talked about, and it puts the emphasis on the player pitting their mind against the setting, the player pitting their mind against the NPCs, with as much direct meaningful interaction with those things as possible. In all games you may need to resort to rolls, but the goal here is for the skill to be based on what the player is deciding to say, where they are deciding to look and examine, and how, etc. I would argue that type of skilled play is different from a type of skilled play where the emphasis is on skillful use of the mechanics.