Funny you mention blacklight. I still do blacklight in early stages. I wonder what %-age of us do that. Since I recognize makers of most marbles, I now mostly sort that way. But the blacklight comes out soon if not first thing.
If I have a lot of damage, I put them back on the shelf and say "later" because I hate that part of the cull process ... I don't want to get rid of any of them. Eventually I put those in a "damaged" jar.
The boringest, non-glowing, 3-vane, coke-bottle glass Asian cat's eyes go into a "don't care about" jar. The six-vane Asians and the four-vane Asians and the Americans get a different sort. But yeah ... probably pull cats out at an early stage.
And the marbles I recognize by maker get put in their maker's boxes.
And then I'm left with the pile I don't recognize by maker and some of them may end up in my "mystery swirl" or "mystery patch" box. But it takes them a long time to get there. There's a batch which is currently shoved under the bed which I've been procrastinating on.
So, my unhelpful answer is that I do a quick sort of what I recognize and what doesn't make me cry because of damage, and the rest I deal with sporadically.