"1) Such devices ran XP badly, they originally had Linux"
Bit of an over simplification that. The early ones with 7" screens and minute SSDs were horrible and weren't even up to running XP and should have been restricted to Linux . The later ones like the Samsung NC10 I had with a single core Atom, 2GB RAM and 160Gb HDD ran XP just fine. I even ran a full version of Visual Studio on it for occasional late night coding in hotel rooms. I never tried the last of the line dual core models but I can't see any reason why they wouldn't have run Windows 7 quite well.
"2) Win 10 costs money to replace XP and offers just spyware"
Can you actually back that claim up re Spyware. I've read several in depth analyses of Windows 10 that compressively debunk that myth - sorry if the facts don't fit your anti-MS stance.
"3 Linux Mint with Mate works fine"
If it does be happy but remember some of us need access to stuff not easily accessible via a Linux Distro - different strokes and all that.