It'd be fine, but I would be worried about two things
1) Sanitization of the heat exchanger. Mine has some copper wire, and all sorts of bacteria can go hide in there.
2) Off flavors. Mine is covered with wort residue, hop oils, etc. I've soaked, scrubbed, etc and it's still there.
So if yours is clean enough overall and you can sanitize it, using a heat exchanger would be fine. Fast, too.
Copper-acid reaction would be minimal, not a concern.