Yes, I have 3 guitars with one volume pot alone and the sound is halfway between direct pickup sound and traditional wiring sound (volume+tone pot).
Some consider direct pickup sounding as very bright-Ice pick, but this is personal taste, some say the same about Duncan JBs or V30s. I like it because it gives me more range on the bright side, anyway there's always the tone amp controls for tame things to the sweet spot...it depends entirely of the particular guitar and what you want to do with her.
You can consider a pot as a low pass filter (even at 10), the lower value in Ohms the stronger this filter is.
Think in a traditional wiring strato: single coils and alder/maple are bright so Leo put 250 KOhm pots.
Gibby guitars have 500 KOhm pots because humbuckers and mahogany makes things darker, less compensation needed.
EMGs are active (preamp built in) so very little attenuation is needed cos the preamp take care of this: 1 MOhm
This are the historical choices but there's no law written in stone, this is Rock my friend, no rules!
When a new lady comes home I consider what she is telling me and what demands to fill her full potential, sometimes demands a diferent pickup, sometimes other value pot, other string gauge, lower half-step tuning...this depends entirely of the particular guitar (woods and construction).
For give you a graphic idea here you have a graph of the response curve of a single coil (6Kohm res, 3H ind), this coil is not attached to a guitar so the response once installed may vary a little by the woods that acts as a filter, but this can give you a general idea of the pots infuence:
The most prominent line that climbs to the top (blue) is direct pickup sounding (no volume/tone pots), this is the true/nude response of the pickup. Second on top is the light blue line: volume 250 KOhm pot, no tone. The following lines are volume 250KOhm+different values for the tone pot: Red 1 MOhm, blue 500 KOhms, green 250 KOhms.
This is a single-coil graph, the difference is that humbuckers have the resonance peak slighly towards the low side and generally less pronounced, but the way that the response curve is changed with the tone control is the same . Because of this remove one or both pots works best with humbuckers, the natural curve is flatter and bassy with not so strident results.