I don't think it'll get stuck. Remember this is a very large coffee filter and funnel. They literally hold a gallon at a time. It will probably filter faster than it takes to whirlpool and it'll remove virtually all the trub, not just 90% of it, and there will be almost no loss of wort.
Also, the thing is, when I've tried to whirlpool in the past, it just doesn't work very well for me. In fact it just seems to disturb the solids more after they've settled some. Sure a little pile starts to gather at the bottom (if I can see it) but there's usually still a bunch swirling around. I would give up and just have trub in the fermenter. Eventually, when I didn't notice any difference whatsoever, I just forgot about it and worried about getting the cooled wort into the fermenter as quickly as possible. Whether there was a little bit of trub in there or a lot, it didn't seem to matter. It certainly doesn't end up in the final product. It doesn't even make it to secondary. And it doesn't seem to make any difference in taste, etc.
Anyway, if it starts to look like it won't work, I'll give up and forget about it. I was just wondering if it would affect flavor somehow. Maybe there's something in the paper that will leach out. Something like that. I doubt it since it's made to filter hot, acidic coffee.