Yes, I have experience of this, having known a person for decades who has done this --- if a person can't manage it, they shouldn't be voting, and they shouldn't be allowed to own firearms as I reasoned/rationalized above.
Just to confirm your meaning --- if a person has demonstrated such poor judgement as to be convicted of a felony, and then cannot trouble themselves to then recant this judgement and argue that they are now capable of making responsible decisions, then they should be allowed to vote and own firearms despite not being willing to make an effort to state that their character has changed?
"such poor judgement as to be convicted of a felony"
I think we know all we need to know.
You should consider that this process varies wildly in different locales and sometimes even case by case.