Andy,
From what I understand, when the pistons were ordered, Omega were given the standard bore size (60.8mm/2.394") with the remit to make the pistons to suit. Omega have a good reputation, so I would assume that the 4 thou you have measured would be correct for the particular alloy of the new pistons. Remember, with motorcycle pistons it is normal practice for the bore to be the stated size, with the clearance allowed for on the piston.
With regard to them going into a Competition model - when we rode our Comps in observed trials, we had no problems from overheating - in fact, the opposite - especially with an all alloy motor!
Regards,
Eddie.