Definitely yes. Firefox is not private as provided by Mozilla. You have to use a custom user.js to disable all the tracking, or install a Firefox based browser like Librewolf or Mullvad Browser.
Unfortunately there's ads in Firefox too, and they're opt out instead of opt in. I'm certainly not a fan of it, but outside of LibreWolf until servo becomes a thing I think should be right but we're stuck choosing lesser of multiple evils.