I'd say that you'd get away with that. The four pots are used as a mix of variable taps between different voltages (ground and Vref, for example), so a slighter higher values resitance will have little impact, there. You are still "tapping off" 50% of the same voltage, when the pot is centred, whether the pot is 6K8, 10K or even a little more. Yes, somebody will claim that it means the source impedance offered to the circuit is higher, but I really doubt this will have a great impact. You could do worse that strap a 15K resistor between each end of the track on the variable resistor (usually labled pins 1 & 3), As this reduces the 10K pot // 15K to around 6K. But you may even get away without those.
Try it!
Not sure I'd even BOTHER with 10 turn pots for the current limit, though. The occasions when you actually NEED to set current limits to a value whose precision you could not achieve with a single turn pot are few and far between, in practice. Remember current limitting is mainly there to save you from FRYING a circuit which developed a short fault, or something similar.
Oh, and one other thing. Ten-turn pots are a PAIN IN THE @RSE when you find that the voltage you want next is at the OTHER END of the ten turns! What you would have achieved in a single twist of the wrist now looks set to give you RSI. 2-3 turn pots might actually make for a more USEABLE instrument, and again allow the setting of the output voltage to "close enough" (for all real world apps). It's easy to get carried away with precision for the wrong reasons.