Hi
Pots have the same effect on SCs and HBs - you end up with a lowpass filter with the cutoff frequency depending on the pot's value and quite a few other factors. The main difference here is that Fenderish SCs producing much more hi frequencies, it's usually ok (and even a good idea) to use lower pot values (typically 250K).
I don't know what MiM pups are worth so I can't tell if you *should* change them, but given the price tag for a BKP and the price tag for CTS pots, an audio quality cap and decent wire, you might as well change everything ;)
FWIW,the PD is a rather hot SC and *may* benefit from a higher value pot (300 or even 500k) - but you'd better search the forum and/or wait for other opinions here. Also note that if you use a higher value pot, this will impact your neck pickup too.