Fonts not showing up in gnome-terminal, or how to make Ubuntu recognize fonts as being monospace?

I am trying to get awesome-terminal-fonts to work with gnome-terminal. I've tried various things. At this stage, the fonts show up if I run fc-list | grep Awesome:

fc-list | grep Awesome

/home/user/.fonts/Droid+Sans+Mono+Awesome.ttf: Droid Sans Mono Awesome:style=Regular
/home/user/.fonts/SourceCodePro+Powerline+Awesome+Regular.ttf: SourceCodePro+Powerline+Awesome Regular:style=Regular
/home/user/.fonts/Inconsolata+Awesome.ttf: Inconsolata Awesome:style=Medium
/home/user/.local/share/fonts/Unknown Vendor/TrueType/Inconsolata Awesome/Inconsolata_Awesome_Medium.ttf: Inconsolata Awesome:style=Medium
/home/user/.local/share/fonts/Ascender Corporation/TrueType/Droid Sans Mono Awesome/Droid_Sans_Mono_Awesome_Regular.ttf: Droid Sans Mono Awesome:style=Regular
/home/user/.local/share/fonts/Adobe/TrueType/SourceCodePro+Powerline+Awesome Regular/SourceCodePro+Powerline+Awesome_Regular_Regular.ttf: SourceCodePro+Powerline+Awesome Regular:style=Regular

The fonts also show up in LibreOffice. The fonts do not show up in gnome-terminal. I tried to make the terminal use one of the fonts using dconf-editor as in the answer here, but when looking in gnome-terminal the font used was then "None".

This answer suggests that the terminal will only show monospace fonts. I tried listing them as suggested here (fc-list :mono) and that does not show my fonts. However, they are monospace fonts.

My larger question is: how do I make these fonts selectable in the terminal options? Given my investigation into the issue, a more narrow question might be: how do I make Ubuntu recognize these fonts as monospace fonts?

I'm using ubuntu 20.04 and GNOME terminal 3.36.2.