Hmmm maybe I'm just remembering wrong then. It's been a long time since I had a dedicated CD player.
>maybe I'm just remembering wrong then.
Nope; many CD players, like the first one I got in 1986, had only a two-digit led display for the track number -- there was no time display at all.
EDIT: It was a Fisher Studio Standard that looked like this, so I guess it did show an "index number" while scanning through a track.
Nowadays, a good professional CD player (or DJ equipment) will have something like an infinite-turn knob, which you can use to seek.