Rolex doesn't service a watch which is 30 years old.
The problem with a dry movement is that you may ruin its parts if you let it run.
So, avoid these watch winders, and find a watch maker which will be able to service it, which may not be too difficult.
Best,
Nicolas.
But if you love it, looking for a good watchmaker can be THE solution.
Look at Joeyza's post, you will have a perfect example of what kind of solution you can find.
The movement can't work without oil.
Yes, it can, but you will dammage the parts of the movement.
Best,
Nicolas.