The arrangement they're playing live is the remix done by fish out of water. That's all there is to it. They're performing a remix. No they're not remixing live (obviously) like Daft Punk or those dudes do, but they're still performing a remix version of one of their songs. "Remix" is just another word for "different arrangement" basically.
Basically another word for? No that is just a lazy definition that has gained too much momentum. Not just by you but by the masses. That is my point. And thanks for agreeing