Brave and Chrome browsers not downloading files in Mate but do in KDE

Thanks rabcor

Just to clarify - the issue predates the KDE install and I did that simply to reduce the range of possible causes.

Two questions:
(1) How does one test a DE unless one can log out of the main user into a testing profile with a different DE to test whether it is system-wide or a DE-specific issue?
(2) More importantly, can you please elaborate on your suggestion that I look into the xdg-desktop-portals. What am I looking for and how would I know whether the correct one is or is not installed? I installed the Mate DE version of EOS, so would have thought that doing so would have pulled in all of the relevant libraries.

<Edit: Since replying, I have installed the default xdg-desktop-portal, rebooted and logged back into my Mate a/c but the issue persists.
Whether or not this is the ‘correct’ library, I don’t know and from the Arch literature, the Mate DE doesn’t seem to have a specific version, unless it is under a different name (e.g., ‘Cosmic’)?>

Further assistance would be great! Thanks.