I might be tempted to try turning on ‘fuzzy skin’ printing above a layer height, for Prusaslicer, if you have a fairly large gap and wide skin thickness it can create an almost-open-weave to it. I used that for some grow baskets for aeroponic racks as well as a lamp shade. The trick there is to print in spiral mode as well.

but I think given the bottom profile, it would have to be done in separate parts- a cylinder for the actual filter, and a cap on either end. ( you can also turn on a skirt for adhesion, which is also useful as a flange for securing it into a cap. basically, there’s a recess that it fits in, then a threaded ring screws into that recess.)