I don’t care for labels much either, whatever works for you is brilliant and don’t let anyone else tell you otherwise.
But go with ‘denial switch’ as a good name if you do want it, ‘switch’ covers a multitude of sins (I should know).
Generally loving permission to cum is more about submission than anything, but ask them sometime to properly deny you, tie you up first, really go to work. While you don’t like the idea now, just having a good experience of it once can make you realise how hot it can be. And if it still doesn’t do it for you, that’s totally okay!
Oh and absolutely indulge that denial bitch side by returning the favour to your partner! Edging someone can be an incredibly intimate and sexy experience to share together. It’s a gateway to them being open to share things they desire they would normally keep to themselves, which can be very enlightening.
But as my wife and I like to practise, we’ll ‘try anything twice’ when it comes to kink that one of us is curious about (once sometimes isn’t enough to be sure as you don’t know what you’re doing the first time).