-snip- For some reason I thought full nodes that only do validation could also receive fees.
That's a feature of POS coins (
Proof of Stake), full nodes will be rewarded for validation and the reward will be based from the amount of coins they're hodling (
rough description).
Perhaps you've read some online articles about it or a hybrid POW/POS coin.
Bitcoin in the other hand is a POW coin (
Proof of Work), miners/mining pools do the "
work" and the lucky one gets the reward and fees.