I have a Brother MFC-J470DW printer. In most Debian-based distros, it installs fine. In LinuxLite 4.4, it appears to install but does not generate a test print and does not print after that. I think the scanner works. I also have this issue in Bodhi 5.0.0, so it's not really a new issue and I'm pretty sure if I find the solution to one, the same solution will work for the other.
It could be worse. I can't install this printer at all in Solus. But it works for most .rpm and .deb package managers.