If you have this then nobody can blame you when you can't sign further messages because the signature is valid and shows that you owned that signature at one point. It should not be possible to fake this.
Did i miss something?
Everything is cleared now. QS suggested me to post a new address from where I can sign a message.
I think that might not be enough. At least if you want to sell the account or proov ownership in the short term.
What a hacker would do when he hacks an account with the intention to sell it or give it out as collateral would be to delete all addresses you posted and post a new address he controls. If he can't delete an address then he might hope for luck.
If you can't sign a message for the old address then, at least up to some months, your account will look risky for potential buyers. I think it will always be good to be safe. Though i wonder why you would delete a private key at all. Safe the private key or/and import it into your new wallet and you are fine.
I even thought about an attack vector from someone selling an account where he posted a bitcoin address in. Before he sells he posts a new address and deletes the old one. Then he sells the account with a fresh account and writes a signature for the new address. Then he waits until the new owner levelled the account up until it is hero or so. Then claims a stolen account and shows the old address in internet cache. He would get the account probably. Though he has to tell why he was not online for one year of course.
Theoretical attack vector i guess.
But anway... think about if that would be a problem for you.