I don’t believe they’re factory refurbished—Apple does not, to my knowledge, sell anything like that anymore. That’s a ten year old laptop, and you can’t even get a replacement hard drive for it. If they’re refurbs, I don’t think it’s Apple doing the refurbishing. In any event, I wouldn’t buy any of the computers you listed.
Why don’t you get something like a new Chromebook, which would be in your price range and brand new?
I over-typed: they are not refurbed by the MFR, they are done by the supplier I found.