I call it a slide stop most of the time. I always use it to release the slide.
Back when James Yeager seemed like he knew what he was talking about and I didn't know better, I overhanded guns, despite the fact that I'd successfully hit the lever 100% of the time for the previous...I don't know, 5000 times?
This clicked for me at a TLG class. I was faster and better with the slide release.
It's not a huge amount of time to give up and I don't see WAY more malfunctions being generated by the overhand method so if people want to do that, I usually just shrug and move on to more important stuff. If they're trying to seriously dial in their shooting for maximum speed and reliability, I recommend using the slide release.
If they make a big deal about it and start going off, I conclude they're idiots and don't give them another thought.