Well I am sure there will be invented soon a way of downloading the real time picture from incoming aircraft. Say you have two or three around and take a snapshot picture of what they see on their radars and use computer wizardry to combine it and upload it into ATC somehow.
Another idea might be being able to place on the radar view a marker so when incoming says "big cell 20 miles north of field about 320 degrees" you can temp mark it on the radar display and it removes itself after a so many minutes live time. Maybe it is already done.
But, and the big but is, if ATCO's take on responsibility for providing weather information based on their display then if it goes wrong you can depend on the lawyers to start shifting the blame from pilots to ATCO's for any incidents arising out of wrong vectors. Probably best stays as is!