It's the engine condition and prior upkeep that matters, not mileage. It's been said repeatedly on this board that if you have minor leaks or oil burning issues with dino oil, going synthetic can increase these issues further.
I think that all these myths about synthetic oils are originated from the way people think. Common wisdom is that since synthetic oil is more expansive and therefore "superior" to dino, the automatic assumption is to think that it will do everything better than dino. If the engine was leaking oil on dino, the synthetic will stop it, if the engine is burning oil, synthetic will stop it as well, but when the opposite happens, the oil is blamed not the neglected engine. This is exactly the same myth as with the ATF fluid changes on high mileage transmissions. People don't change the ATF until the transmission starts slipping, so as a last ditch effort, they change the ATF, and when the transmission stops working a few thousand miles later, they blame the ATF change.