is piqué fast?
no.
has piqué been beaten for pace quite a few times?
yes.
is piqué beaten for pace as often as he should be, given his level of speed?
no.
is piqué always alert and on his toes, and ready to get back and cover at a moments notice?
yes.
can this skill be learned the more one adapts to the league?
yes.
piqué was trained in la liga and then the PL. his footballing speed of thought is going to be supersonic. chysus has come from ukraine which is much slower and in a team which played with a deeper line. he's built exactly like piqué, the only reason he seems slower is because mentally he's not as sharp and thus reacts that split-second slower which makes all the difference at the top level.
with more time in this league, playing at this pace, he will adapt. plus as you say, his positioning in accordance with a higher line of defence will improve through experience.
"will he get faster"
this is football. not athletics.
jesus.