Since both ground based and airborne weather radar is all about bouncing radio waves off water, the issue is, do you want to send the radio waves from your airplane or from a ground antenna somewhere in the region. Well, there are advantages and disadvantages to both; one presents a weather "big picture", the other tells you what is going on right in front.
If you have choose, you want an airborne system because that's what is best able to keep you out of trouble right now. Pilots flying IFR without weather radar could rely on ATC's weather radar for guidance in staying away from severe weather, but this was never considered optimal and airborne radar has always been preferred.
The Storm Scope thunderstorm detection system, that locates and maps lightning strikes, came out in the 70s as a way for light aircraft that couldn't install airborne radar to dodge cells with higher confidence than just advice from ATC. It has its own deficiencies because the really bad stuff is usually associated with water more than electrical charges so Storm Scope couldn't always be depended on the keep you out of the worst of a storm, although it was better than nothing.
I'd say that what you WILL see though (or are seeing already) is a seamless integration of airborne and ground weather radar via various data channels, as well as electrical storm activity, into aircraft displays, to provide the accurate possible presentation.