this converstations is just stupid. You worry about telling her or not telling her that you dont like her going to clubs.
You decided not to tell her it annoys you cause you read it was the alpha thing to do... Nice...
See this, if you dont like something your gf does...YOU TELL HER, ONCE. No need to get into an argument, just be direct and say it once, and do not repeat it. You tell her: "hey, I dont like you to go clubbing"
And then let her decide what she prefers to do: either making you happy and doing what you say (she has high interest in you), or arguing with you and doing what she wants nevertheless (which would be an indicator of very low interest in the relationship).
You TELL HER ONCE, and let her do. If she breaks your boundary more than once, or breaks more than one boundary you must understand that she is no long term material, so you either dump her or downgrade her to fvck buddy.
Besides, I think that when you do something she doesnt like she tells you for sure right? it is pretty normal to tell your gf/bf what you dont like, so dont be a puss-y.
It is not that you tell her every damn thing you dont like about what she does, but if it's something IMPORTANT you should tell her/set that boundary.
You dont have to become a dictator, but set some boundaries while being a bit flexible.
If it was me, I would let her know I dont like it, but if she does it rarely, once a month or less, so be it, but just that. This way she gets to go out in some special occasion but not that often, so you both win. You set a boundary, but you're not a control freak that doesn't let her get out of the house.
Do you get my point?
P.S.
Anyway, there are some guys that try to control their gf's actions, they are too jelaous, too controlling etc... and their gf behaves nice and they are together for many years.
In other cases the girl gets fed up and cheats on her bf anyway.
In other cases they guy is very permissive and her gf behaves well cause she is high quality, but in other cases she cheats on him cause she is trash...so you never really know.
I think that setting some boundaries that really matter to you is the way to go, and you set them mainly for you, to make you feel better and to not argue with your gf that often. At the end of the day she will cheat no you or not depending on which type of girl she is so...so do it for your own peace of mind, not to 'control' her.