BB height and Crank lenght are to keep you from hitting the track riding SLOW, not leaning into a turn. Look at em, the RH pedal has the bevel worn in. Never seen an intentional "skid" on the track, at least one w/o loss of skin.

I beleive the Chain width thing is just a carry over, not a consious design consideration. Road Bikes got narrower (and still are) and Track stuff just stayed the same (with the breif exception of Shimano 10).