Earlier quoted context omitted.
Then why would anyone pay their bills if they can buy their debt back for 1/10th of what they owe?
In addition to the credit issues the other commenters noted, there is the issue of taxes in the case of "chargeoffs." One will get an income statement from the credit issuer for the fraction of the debt they write off. Odds are if one is in the position of having debt collectors come after them they'll be unlikely to afford the taxes on the "income."
It would be well worth paying 1/100th of the original bill to not have to check the mail anymore, and throw that garbage away, but if we were to actually PAY the 1/10th settlement amount, it would open us to liability for the WHOLE amount.
tldr, I'm willing to be extorted, but not ludicrously so.