So for you, with a unity gain stage, it's more beneficial to use 1µ film cap with 220K volume pot, than 22µ electrolytic with 10K volume pot
In terms of leakage, which is what we are discussing here, yes. And maybe (although generally not) also in terms of distortion under certain circumstances, because a non-inverting stage will produce higher levels of common-mode distortion as the resitance goes up. In terms of noise and DC offset, no, but, as I said, the circuit you provided will not present a disturbing amount of noise. And, if you replace those NE5532s with a FET input op-amp, you can use a 1u cap and a 200k pot and there will be no real problems in terms of noise current and DC off-set.
With a FET op-amp in the circuit you provided, noise contribution will be dominated by op-amp noise voltage of the last stage; a quick estimation with the circuit you provided, and using a 200k pot and a 200k resistor, resistor noise translates into roughly 182 nV up to 20 kHz. The opamp, considering, say, 8nV/rtHz, will provide something like 1.1 uV due to op-amp voltage noise; this last term is the one that dominates since it is much larger than the resistor noise. The total noise output will be around 1.1 uV over the entire band, not considering 1/f noise, which will add more noise at low frequencies, lets round that number to 1.5 uV of noise, that's around -114 dBu of noise at the output. We would also have to add the noise of the first op-amp, but that noise contribution is at its maximum when the pot is all the way up. In a worst-case scenario, the noise contribution of the first op-amp would only raise the noise floor to around -111 dBu.