The general public was often using Times New Roman or whatever their system's default sans serif font was.
But, designers have cared about things like this for a very long time (ages, as you said.) Arial is joined at the hip with Helvetica, which got a movie[1] because of it's massive cultural impact and it's praise within design circles.
Among professional designers, there were very strong opinions on Helvetica and Arial--almost fever pitch at times. iirc, Arial exists do to the popularity of Helvetica and the background of this goes back to the 1950s. It wasn't just where it was placed in the font selection menu, it was given top billing in that menu deliberately (in Windows.) If you're interested, I think the Wikipedia page for Helvetica (Font)[2] covers it fairly deeply.
That all said, I haven't heard it hotly debated for some time now. The explosion of freely available fonts; popularity of new font families like Open Sans, Noto Sans, etc; and the ability to add custom fonts on the web seems to have slowly killed off the discourse in the last decade or so. I'm not in those design circles as often anymore, though.