+1 on the not needing tread comments.

The one thing they do, is have lower traction on hard cornering, and tend to break away much slower. Still, tread only does me good off pavement.

Personally, commuting on a track bike, I put as fat a tire as I can fit in there as track bikes ride stiff. Fatter tires (up to 30mm) have more traction, less rolling resistance, and are less prone to pinch flats. The only reason to go lower than 28mm is if you have clearance problems, or are making a fashion statement.
I typically end up with 25mm front 28mm rear (the biggest I can fit on a track bike). A Thick Slick is geat in the rear as the 28mm is huge (about 3mm bigger than my other 28mm tires), cheap, likes skid stops, wears forever, and is tough. It’s not light though.

Now you just need to find a velodrome...