Hammering out as you put it isn't probably the only option. When carbon steel got severely out of true you better abrade it while thinning. Eventually you put a more conservative edge on it.
The Wüsthof is the most interesting here. Handle seems intact, and with a bit of love you get a great performer. I had the privilege to do so with a few vintage carbons and never regret the time it took. And this one seems to be in quite a good condition.
I just need to find the time to do it and ask ask a lot of questions before I start that process.