Not mine but this is actually what I did too.
I said I plan to charge back on my credit card. They threatened that if I did that, they can’t promise my account wouldnt be flagged.
I said “bet” and they removed the cancellation fee and cancelled the service.
I tried it but no one would accept cards from them. They were all flagged as fraudulent.
I’ve never had a problem disputing transactions on my credit cards.