Technically, it is no problem to add each transport to the DEV, QAS and PRD import queue. But you have to do it manually. If you want to use the 'automatic forwarding' you have to create a new transport request in DEV with the object list from the original request.
In my company, we have some 3rd party products and updates (which come with transports) are manually added and imported in each queue. The objects are all in a namespaces which we do not use in our systems.