Flying BN2s in Shetland I frequently needed to use asymmetric power* to control yaw during the take-off roll. I'd be surprised if the lack of power on one side didn't adversely affect the TODR. Problem was that it had to be masked by the HWC of whatever wind was present *and*, conversely, by me keeping the a/c on the ground for bit longer than usual to ensure a fast, clean transition from wheel-borne to wing-borne.
*As an aside, I sometimes had to use asymmetric power during landing to get sufficient yaw rate to be able to touchdown without drift in particularly strong x-wind components ie >40kt. Bloody Islander was soooo sluggish otherwise... Wonder how much difference this made to LDR?