I feel like the mediums are so different that stabilization is more a setting than a crutch. Foregoing it would be akin to never using brush opacity settings and relying entirely on physical pressure control. Doable, yes... but why would you!
There’s something about the smoothness of the screen, some natural jitter that may be introduced by the electronic interface (bad drivers can definitely cause a “digital tremble”) that stabilization is kind of a counter mechanism. I’m with you that in some situations I would find it easier to draw elegant lines traditionally than digitally if stabilization was off. If that’s true then we’re just getting back to even when using stabilization!
I don’t really have any inclination to wean myself off any particular settings, brushes, etc. I’ll use every tool I can to get the result I want! Depending on illustration style, there’s plenty of people & projects that would have no use for stabilization, if a rougher, more visceral line & texture are called for. Ultimately it just depends on preference and the look you’re trying to achieve in my opinion.