Sure seeing a lot of conflicting info. In my case, I service my car at my local dealer, not where I bought it. After my last stress test (failed), they said my battery is on order and will be installed by then. When I did speak to Hyundai Canada, I also asked them if I should be maybe be dealing with my car purchase dealer, and they said no, my local dealer will do it.
And yes, have read some posts where batteries were replaced without any stress tests. Although it is possible, the test is still run (and fails) as part of the replacement process. I don't know...
So far, I am OK with my process, as at least I know my battery will be replaced eventually. And I got my $250 gift card debacle fixed (I think). And in the meantime, my car is working fine. Not doing any long trips right now, so no problem with the 80% charge limit.