I was interested to see your post and Gerald’s response. This isn't a tree that I know, but will keep an eye out for it from now on.
I hunted around on the internet for some additional information on this species. It appears that the double form doesn't set seed, but the ‘wild’ single form sounds as though it could become invasive in open disturbed sites. You have probably already located more information but this link will take you to one of the sites that I found: http://sweetgum.nybg.org/science/world-flora/monographs-details/?irn=10565
In particular, note the following comment (re the single-flowered form) "Cochlospermum vitifolium behaves like a weed and is often to be found along roadsides, in dump areas, forest clearings, and secondary growth".