Having said all that, I think the cases that this would apply to are in the single digits, compared to the thousands and thousands of accounts being perma-banned for plagiarism. It would require a lot of time and energy from the admins/mods to set up this new system for the benefit of a tiny handful of users, and that time and energy could be much better spent elsewhere. The bottom line remains the same - if you don't want to be banned for plagiarism, then don't plagiarize.
Moderators could simply apply their discretion in the handful of cases that deserve that. I know there is the concern of setting a precedent (if we let one off the hook then everyone will want the same) but honestly most of these suggested "second chance" schemes wouldn't be any better.
A 0.01
BTC fine seems like a good idea though or something that small to redeem yourself. Although well end up with the same number of people just saying theyre unfairly targeted... members that have been here long enough should be able to afford the fine, those who havent wont unless they put in work to educate themselves.
And as Leo said, there arent many that get banned for copy pasting its just quite a large amount of the banned ones thats why were noticing them. Its not like you can unconsciously plagiarise.