I'd imagine it's more complex than that, a pre-existing injury like this is more likely to cause more damage to Alex in this fight and maybe damage his career in the long run. Is it likely that Alex was whining about it? Probably not, as he was most likely thinking of his career over his safety. That's why we have commissions who think of fighter safety even when the fighters aren't.
Yes. A cut that size doesn't heal within a week. It just closes superficially to stop the bleeding, but it's still vulnerable and prone to open again. And, if I remember right, in the same interview the gif was taken from Gustafsson stated that he still was ready to and wanted to fight, but the doctors wouldn't let him.