It won't alter your tracking but if one side is lower pressure than the other the car will tend to pull in that direction.
Only very slightly, but then the next day it seems fine, it might just be me lol, I'll try it down the motorway on a flat straight road
I know mine tends to pull/wander a little more when the tyres are getting low which makes the steering wheel slightly off depending on camber of the road because you need to steer against it. Was worse with my PS2 than with my NS2R
Tyres are PSS, done no more than 1000 miles, I'm talking very slightly out Daz, a natts nacker, I'll get my other R wheel re-trimmed without the red centre band, won't notice it then lol
In terms of tracking, if the steering wheel is off to the left, it's because the near side wheel is toeing in too much (to the right/towards the driver). The wheels will roll with equal toe. So the steering will pull over to the left which makes the offside wheel toe in more and the near side wheel toe in less until they are equal. Assuming both tyre pressures are equal, tyre type/ tread pattern is the same and worn to the same level, then this is how you need to adjust tracking. The tracking solution to the steering wheel pulling to the left is to adjust the near side track rod end to reduce toe in by shortening the track rod length. So that's threading it into the joint by rotating it clockwise. Of course the roads camber also tends to tramline the near side tyre and pull the steering to the left.
Or front to back? It's a good point because on the harder compound you can get a square edge on the tread to sidewall part of the tyre.
Have you checked the steering arms for play and also the tracking especially if you might have hit a pothole or three on our wonderful UK roads!!