I don't think the altered pot will exactly follow a log taper anymore
It should keep some or most of the taper since it's all just ratios through the dial-
I know what you mean, but
others have pointed out how a resistor can be added to a linear taper pot to fake other tapers, but also that the the composite pot doesn't behave 100% like a true log taper pot.
Of course, here we want to change the value but not the taper, and I'm suggesting that the taper will be impacted in some way.
My usual knee-jerk is to go find the math formula to help calculate what the effect will be (and we can still do that by way of establishing an equivalent circuit and the equations that goven its behavior). But it's late, and it seems faster to me to just cut to the chase with a practical experiment.
I took a Bourns 500kΩ audio taper pot, and rigged a resistance across its outer lugs to mimic the change from a 250kΩ to 100kΩ total resistance (that's 40% of the initial resistance of the pot). My pot is 10% taper, which I found by measuring the resistance at half-rotation. Interestingly, though marked as "500kΩ" when I measured actual total resistance of the pot, I found it to be a hair under 400kΩ. Mid-rotation measured ~40kΩ.
I calculated the total resistance for my "new pot" at 40% of 400kΩ, or 160kΩ. I could have calculated the resistance to parallel with the outer lugs, but just hooked up a decade resistance box and turned knobs until I measured 160kΩ (that happened at 270kΩ paralleled with the total pot resistance; if you do the math, you'll find it matches my experimental result).
I twisted the pot knob until it was at half-rotation, and got 50.4kΩ; this is ~31% of my total pot resistance.
This result tells me the pot taper has changed from at least a 10% taper to something closer to a 30% taper (meaning closer to the action of a linear taper pot).
I would have tested more points, but the pot was not mounted on a panel or with a dial indicating percent rotation, so any other measurements would be ballpark at best.
I gather from this that the faked "100kΩ pot" created by paralleling across a 250kΩ pot will have a faster taper which will seem less smooth in its sweep. This may not be a problem for the original poster because he very well might leave the control in a set-n-forget position (like a lot of us do with guitar controls).