I know that this sounds reasonable in your head. But to a neutral third party (as you're seeing in this thread,) it looks a little less reasonable. It looks like you disagreed with a policy, so you thought you could write a new one and the hotel just had to deal with it. And you now think the credit card has the power to reverse your written contract to align with your invented policy?

Your credit card has no business (and no interest in) reversing a contract both parties entered into voluntarily. That would be bad business on their part, and frankly would give them no legal leg to stand on.

Reversing charges is for fraudulent activity, which can mean failure to deliver what was contracted. But the hotel's cancellation policy was in writing, and they delivered according to their policies. I'm afraid this is one of those painful situations where you have to abide by the agreement you entered into. I'm sorry. Because it sucks to lose your money. But this isn't what a chargeback is for.

You may have better luck getting a voucher for a future stay with the same hotel, but even that would be a courtesy more than an entitlement.