Odd how this is the opposite of my experience. My mother is unable to print or scan things 2/3 of the time on her HP printer using windows 10. You know, the OS whose parent company has very close relations with HP, and is updated in a manner that forces their users to use the most up-to-date official HP drivers, even going as far as to prevent them from using any other drivers, including the default windows ones.
Meanwhile, my Linux laptop can operate the printer just fine. Never had an issue. I can even operate the loading tray, despite the HP tech support reps telling my mother it is broken.
My HP printer has a special mode where it pretends to be a CD-ROM drive with the driver files on it. One time it entered this mode and I had to use a Windows machine to kick it back into normal printer mode. Couldn't find any Linux way to do this.
The rest of printing from Linux has been smoother than Windows though. I have a Linux machine run CUPS and that makes printing from Windows easy.