I've used a few on-chain trading platforms and the constant gas transactions get annoying pretty quickly. Does gasless trading actually make much difference when you're trading frequently?

For me, that's one of the more interesting parts. When you're making multiple actions, having to think about whether you have enough native tokens for gas adds unnecessary friction.  EVEDEX is one example I've come across that supports gasless trading across multiple networks while keeping the trading setup self-custodial. https://www.quicknode.com/builders-guide/tools/evedex-by-evedex.