Welcome to the club!
And yes, it really makes a difference. And, there are even extra extensions for TST: I use a color tabs extenaion for it as welm as an extension that lets me export a tab tree as markdown for use in my notes or to batch "bookmark" them before closing them.
I expect you have tried to search for it in Firefox, but have you tried sideloading it somehow?
As far as I know Firefox supports a superset of the APIs that Chrome support, so it should be a possible?