Certainly the RAF advice was to rotate the wheels periodically, I would expect this originated from manufacturer's guidance. The 'flat spot' due to weight on ground will be more pronounced (I hope) than any resulting from a skid, assuming that the tyre still holds air after the skid...
The phenomenon would be more noticeable in very cold weather, when the tyre rubber is harder, and slower to recover true shape upon first use of the day. Tyres will heat up during taxi, but a short taxi and rapid take off could be a bumpy ride.