After you gave up and walked away did you ever recover your funds at a later date?
If you refused to comply to their add-on ToS what would happen to those 0.012 BTC funds? Would they distribute it to a charitable cause which can be traced/proven or would they simply let it sit in limbo?
I still haven't recovered the funds, they're still sitting on the account but since you asked, I searched and found this:
If your Bittrex Account has been inactive and you have not responded to reasonable attempts by Bittrex to contact you for a period of several years (as defined by the relevant state statutes), Bittrex may have an obligation to report any Tokens in your Hosted Wallet or any fiat currency in your Bittrex Account to the applicable governmental entity as unclaimed property. If this happens, Bittrex will attempt to contact you using the contact information provided by you. If you do not respond, Bittrex may be obligated to turn over any Tokens in your Hosted Wallet or any fiat currency in your Bittrex Account to the applicable governmental entity after deducting any fees payable to Bittrex.
I'm guessing that "inactive" here is a reference to logins and not trading?