Lost coins only make everyone else's coins worth slightly more. Think of it as a donation to everyone.
Oh wow! Satoshi already had speculated on this. That says just how far into the time the pioneer was and for a fact, it’s one way to create scarcity, increasing the demand on what we have in circulation to make it worth even more.
It wouldn’t be a best idea to have new coins added to the network and even should there be any derivation, it would be a fork and not Bitcoin.