Should I get my GMT-IIC overhauled?

[MK25toLife]

I have had my GMT-IIC for almost 2 years now, it has NEVER ran on time, always fast. Since I live in NYC I have taken it into Rolex 2-3 times before and they have tested it and always said there are no issues. They never kept it for testing for more than a few days.

This time around they've kept the watch for a week and 2 days and I just got a call saying that it was fine and they did not see any issues with the watch running fast. However, they did recommended that the watch be overhauled, which is basically taking the watch apart and putting it back together (correct me if I'm wrong). They would then test the watch again after this, so it's looking like another 3 weeks.

My quesiton is should I have it overhauled? Are there any drawbacks to having it overhauled? What are the benefits? I know my watch and it has never ran on time, but when Rolex tells me there's nothing wrong with it and I begin questioning myself. Would love to get everyone's opinion.