It’s not that bad, they’re single bevel so you’d have to try to sharpen the wrong side of the blade to fuck it up too badly
Any disruption of the interference fit between the contact or cutting faces can ruin scissors - it’s a lot like grinding a straight razor, but where you have incredibly strict angle requirements across a compound surface. You’re absolutely right though that the #1 mistake people make is to mess up the hollows by flat sharpening them like knives.
It’s a single bevel.
Sharpen the angled side at the proper angle, and remove the burr by flattening the smooth side of the blade on a decent diamond stone.
I have my great grandfathers barber’s shears, and that’s how they’ve been sharpened for going on 100 years now. You need a stone wide enough for the whole blade, so that its uniformly flat, but other than that it’s pretty logical how they need to be sharpened.
It’s a shame more fabric enthusiastics don’t do this, we’d have an army of skilled blade sharpeners and weapon/fabric enthusiastics could join forces and reign supreme
Seriously, what’s with these people thinking fabric scissors are magic? If anything, they’re significantly easier to sharpen than a knife.