Sorry, you're correct. It was the link not the button. My brain gets confused talking to people using technical words correctly instead of normies that call the link a button
I just tried this with every major OS and browser. I don't think it is possible.
You can highlight the buttons (most times) in Safari on MacOS, but you can't select the text and copy it or translate it.
You can copy <button>Text</button> in some browsers, but not when it's in <input text="Text">.