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The use of "quantum leap" isn't about comparing the absolute size of the change to quantum phenomena. It's about the lack of a smooth transition. Quantum leaps in physics are instantaneous transitions between states with no intermediate. That's the idea with the colloquialism: a sudden shift from one state to another without a smooth transitional period.
Yeah, a lot of these things actually do make sense, just in a more precise way than even the people using them intend. Gravitational pull is also like this. Earth's gravitational pull is not weak, it literally keeps everything on Earth tethered to it. More importantly, it happens as an intrinsic property of the Earth, the Earth doesn't need to "try" to exert gravitational pull on things. Furthermore, gravitational pull attracts more mass which begets even more gravitational pull, like a snowball effect.
So gravitational pull is not about the strength of the force, but the fact that it is natural, effortless, and often forms a positive feedback loop (borrowing from another comment here lol).
So if I say someone at work has a lot of gravitational pull, I'm conveying that they do a good job of bringing other people into their area or work, that they naturally do it almost without even trying to, and that as their social influence grows, they just end up with even more social influence. It's a really deep metaphor which is also physically accurate.
It's true, although I doubt most users know that. I wonder if it actually was an idiom before the science was invented/discovered.
Relevant SMBC (that I misremembered as an XKCD).