Is it better to attribute to web.archive.org or the Wayback Machine?

My personal preference is to refer to the "Wayback Machine" in the text, while the domain is in the URL. Then both are obvious when someone hovers over the link, and I assume it also helps audio-readers understand it easier

(The domain would have to be in the URL anyway, so doubling it into the link description seems redundant to me)

@JeffSchaller Good point. I was actually asking about a log description.