Yeah, why not? I (and the other taggers) always add an address to every node/way. When people search for a company's name in BTCmap, I'd find it useful to at least see an address. If only to enter it into my car's navigation system.
We fill in every node as completely as possible with data. Not just the name and address, but also the phone number, opening hours, website and/or social media addresses, email address, etc.

And I don't blindly rely on the Square data for that, because it often contains errors. A company's website is always the definitive source.