In the transmission probably not. You are better off just dumping it completely on scheduled maintenance. It won't get a change to wear out.
With Engines possible. The molecules in synthetic oil do not wear out only the additives do so the length between changes can be longer. It also depends on the amount of oil you need verses the cost of filters and changes.
I have transmission and oil coolers on my car so thermal breakdown is not a big issue. But synthetic oil will not break down as rapidly under high heat.
Another thing to consider is that most engine wear is at start up and synthetic oils stay on the parts better not just all dropping into the pan so there is less wear at start up.
In the end it all comes down to cost vs longevity.