As someone who didn't used to work at Mozilla but does work with a lot of elderly people (both personally and on various occasions professionally) who use Firef

As someone who didn't used to work at Mozilla but does work with a lot of elderly people (both personally and on various occasions professionally) who use Firefox, they usually do call it Mozilla and scratch their heads when I call it Firefox (until it clicks for them and they realize "oh, you must mean my Mozilla!". This is in spite of it even being labelled "Firefox" on their desktops; they just see the orange and blue and think "well there's my Mozilla!". I sometimes wonder if it's because they were Netscape users back in the day and got confused about the transition.