I transitioned from about 2 years of pole into dance Trapeze and Tissu about three years ago. Poling definitely helped that transition for me, because prior to poling, I could barely do pullups. The one thing that pole does give a person, that typical dance training does not, is the upper body strength. Currently, I assist in teaching aerial, and the biggest thing I see in beginners, especially on Tissu, is that the strength isn't there, and its completely normal. Its actually what most of the frustration is with that apparatus; building the strength to be able to execute the moves. Because no matter how well you understand it, the bottom line in aerial is strength and control. The next biggest issue I see, primarily with Trapeze, is that it HURTS. For me, Trapeze has totally eclipsed the pain I remember with Pole. That said, it's my favorite apparatus.
I think the transition from pole to aerial is a good one. They complement each other very much so. However, each apparatus has their own idiosyncracies, and while a lot of the moves look very similar, like gummypia says, getting there is rarely the same from apparatus to apparatus. However, the more vertical apparatus (pole, rope, tissu, etc) all have many similarities with eachother, as do trapeze, ring, hammock, etc. For me, learning new styles of movement, be they dance or aerial, will likely complement all the other things that I do, because its just adding another element of complexity to my movement quality and teaching me a new way to use my strength. Because getting my straddle up on Tissu will help make my straddle up on Trapeze and Pole that much better, even though they aren't all the exact same thing, they just look like it.