Sadly that's not going to fly, since the damage a bad actor can do with your account will generally hurt the service's bottom line.

Consider a game, as an example. A stolen account can be used to play with cheats or to commit credit fraud / chargebacks, and the typical punishment of banning the account is no longer a deterrent. If there's an in-game player market or gifting system, items can even be transferred to otherwise legitimate accounts.