Depends on the pool. Some do. Some don't.
From personal experience IIRC Bitminter and p2pool both payout 100% of fees.
No idea if this is accurate but if it is it looks like only a small % of pools payout fees:https://en.bitcoin.it/wiki/Comparison_of_mining_pools
Hmm: Bitminter is the largest no fee, hop proof pool which also pays out transaction fees. I knew I liked them for some reason.
Excellent! I might move to Bitminter now... I wish they were a little bigger, but at least they would get blocks with some decent frequency.
p2pool also looks very tempting. I would rather see p2pool become more powerful than any of them.
After a google, I found this link
that shows average fees per block.. Pretty out of date though, what do fees look like nowadays?