No, that is absolutely false. One could remove the limit screws completely and shift to every single cog correctly, including both the large and small. Once the cable adjustment is made on one cog the lever will move the derailleur the same amount to reach the other cogs. On indexed systems the stops are more a safety measure rather than an adjustment.

Further, the limit screws would only affect skipping even on the large and small cogs if adjusted so as to prevent the derailleur from completely reaching the outer cogs.