Yeah they work under the right conditions.
High humidity reduces effectiveness.
Don't go with cheap brands.
How restrictive depends on how good your fan is at dealing with the resistance and how big your filter is.
If you want to use the warm air, get an oversized filter of a top brand ,like mountain air and maybe think about adding an inline filter like CAN make as well.
Obviously that's going to reduce your extraction so you may need to upgrade that.
I think you'll probably lose 30% with the first filter, you'll have to do a bit of research. There's general rules of thumb on how much each bend, length of duct ect reduces fan performance..
An oversized filter means more contact time with the air on the carbon, increases performance and how long itl last.
I use rhino pros , 8" minimum , they last me years but my air goes up a chimney.
Though I have stood on my roof with my head in the chimney and smelt nothing.. I'd want extra filtering if I were pumping into my living spaces.