You are wrong. Nothing in the US stops a landlord from preventing you from installing an AC and plenty do, for any reason they want.
My previous US apartment banned window mount air conditioners. I was stuck with a "mobile" AC unit that could barely handle a little humidity. Even someone in a "Historic" property in Europe that isn't allowed to touch anything would have that option as well.
And his point is that in most apartments in the US, you are not blocked because you're a renter.