I agree there is a ton of overlap. Much like there is overlap between mp3, tracks, and song. My iPod has 1000 songs/tracks/mp3s is all correct. But saying someone is a good font designer is as silly as calling a musician a good mp3 writer.
Font never referred to a specific file or just files in general. In current-day usage it‘s synonymous with typeface. That distinction is just non-sensical. It’s a stupid ret-conning by annoying pedants.