Mark, I think you'd be fine either way. With teflon tape ust don't wrap the very end of the thread, so no tape slivers get sliced off and go downstream into the regulator or jets. With LocTite, you probably have to degrease the threads for best results, and of course it actually has a shelf life--you'll throw out most of the bottle two(?) years from now, or it won't seal properly.
But either one will work.