If yes, it could be because Firefox started honoring the system font settings of Mojave [1].
Enabling font smoothing in System Preferences now results in slighlty bolder fonts, and grayscale font smoothing. Firefox and Chrome needed some time to adjust to these settings, but now have the same rendering than the rest of the system.
https://i.imgur.com/U5eQdqZ.png
https://i.imgur.com/wHKa4Zu.png
Edit: This made a difference for me, but it's also changed the feel of every UI element on my mac. I think it's a net win but will take getting used to: https://www.reddit.com/r/firefox/comments/aj3p2v/fonts_too_b...
tl;dr - disable 'use font smoothing when available' in system preferences. After killing and restarting Firefox everything looks normal.