I am trying to print from gimp. When I open my printer driver (Brother MFC-J480DW) and select quality = Best then try to print it prints in Normal mode. When I open the printer driver again it shows that it has reverted to Normal mode. I don't have this issue with the printer driver when accessed from other programs.
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Well.....
There is no real solution for this at the moment. Gimp originates in linux and Windows printing is an add-on that is less-than-supported.
To be fair to the developers, they realise this but there is no one there at the moment to improve matters.
I have a Brother printer, works fine (more-or-less) printing in linux.
For printing a DVD I have to resort to Windows and run an old Windows Virtual Machine for the DVD printing application.
If Gimp does not remember the quality setting, try setting a 'profile' as default. Might work. A couple of screenshots
https://i.imgur.com/YgXdjXS.jpg
https://i.imgur.com/2yg6yck.jpg
... but my advice is, use Gimp for your graphics editing, then use some other application for printing.