It’s kind of how it should be. Otherwise people not paying by credit card are subsidising people who do. It might encourage the card companies to lower their fees.
Managing cash itself though is other additional costs that aren't present when paying by card, having to bring it to bank periodically if you're doing that, ecc
It's still a form of rent seeking. They charge 2% because nobody else has the capability to create an alternative. It's preferable for a government to reduce rent seeking as it makes the economy more productive, eg by limiting the fee.
It hasn't though and no it's not how it should be. Any kind of payment comes with a fee. Yes even counting cash at a bank isn't free. Paying a security firm to come pick up cash regularly isn't free.
And the hotel has accounted for this in their price. Apparently they find it 1-2% cheaper. It's only unfair if they only accept credit cards, and still add a hidden fee.
They don't. You're assuming a lot of things. Extremely few people pay cash at a hotel (as even deposit would have to be in cash and held in place and refunded in person). Vast majority pay with card.
They're doing this because they can get away with it. Purely and simple. Large part of this 2% is extra profit.