Yes, the stock pot is an Alps. It's a good pot. I doubt they could do much better with a different pot. The next real step up would be a stepped attenuator. Shunting the pot would still be a big step up from the stock pot, and shunting can be done for the price of a pair of good 47K resistors. I haven't shunted mine yet, but it's on my list of things to do. I'm evaluating the effects of my other mods first.
Even more dramatic results could be obtained from switching the coupling caps. The coupling caps in the stock unit are .22 uf REL Multicaps of the PPMFX series. It's a pretty good cap by consumer audio standards; bottom of the REL line, made of metalizied polyproplyene. They retail for about $3 each. There's still loads of room for improvement here, both in terms of cap size and cap type. It's possible one could go as high as 1.5uf without wasting money or space (better bass response). Film and foil or paper and foil would probably sound much more detailed and smoother than the stock metalized poly. I'm switching to high capacitance film and foils myself, since there's not enough room for paper and foils.
Next in order of impact would probably be the resistors. The unit comes with generic metal films. You could improve the sound a lot with replacements. I'm using Rikens in the signal path. Next round, I'll put some precision resistors in the power supply path, which shouldn't be very dramatic, but will still help some.
The pot would be the next thing to work on -- either shunt or replace with a stepped attenuator.
After that, the power supply caps are Nichicon VX -- these are standard grade stuff, and are another good target for upgrading. Also, the diodes are IN4004 - noise city; replace with something quieter.
And the layout and quality of the wiring harness makes me shudder. I STILL can't figure out why it doesn't hum like an aquarium pump.
This is before we even start talking about simple circuit mods.
Plenty of possibilities for fun here.