Yeah, this works really well. A properly set up cotton (or hemp, but cotton is just as good) filter will catch all the larger particles, some of the smaller ones, and all the the particulate, while having neglible effect on draw resistance. Plus you can take out the filter and vape it when it gets saturated enough to noticably affect flow (which can take months), and that shit is going to give you the biggest clouds you've ever seen, in that the resulting sodden cotton is basically a perfect substrate for holding oil with maximal surface area (and thus rapid vaping potential), but at this point contains many times more oil than the same volume of even the best herb you ever had.
There will be some "sticking" as you say, but it's mainly rejecting larger particles mechanically, that is by packing the fibres tight enough that there's no complete paths through the wad that have minimal openings large enough to allow the larger particles to pass, so they are trapped and the smaller ones pulled through by gas flow. Essentially you want to pack the wad as tight as you can without noticing any significant draw resistance, and it'll do the rest for the next several months.
Another thing cotton will do is stop that the ugly brown hydrated-oil gunge patterns that form up the walls of a piece, often after just a few good hits. The walls will still collect resin, but much more slowly, and in a more even "haze" pattern without any water droplet patterns. Seriously, they can look "clean" for tens upon tens of good hits. Most of the shit that was getting stuck on the walls is now stuck in the filter instead.
One final note: Once you have a few loads through it the filter will become quite sticky to the touch. Do not touch or mess with it unless you really have to at this point, because squashing or compressing it even slightly will close up pathways through the filter, and now that the fibres are sticky they will stay closed, increasing draw resistance noticably. If you nudge a sticky filter accidentally you might find draw difficulty increases enough that you'll need to replace it, and ideally you don't want to replace it until it becomes sodden on its own as that shit is just mind-erasingly good when you finally get to enjoy it. If you don't interfere with the filter the resin will hold all the fibres in place just fine, and it will last a surprisingly long time.