Not, in my opinion, a good idea - but nonetheless would be interesting to have a play with and find out.
I can't see why a ball nosewheel will skip over runway bumps and holes any better than a tyre of the same diameter, but what I think it probably will do is offer much poorer natural directional stabilisation (that is of-course what the ballbarrow is designed to do).
I have seen a very experienced tailwheel pilot enter an uncontrollable groundloop with a tundra tyre NOSEWHEEL aeroplane (with a castoring nosewheel), the ball just strikes me as making it more likely.
That said, as a flight tester an an eternally curious aviation researcher, I'd enjoy running a test programme to find out if I'm right or not.
Incidentally, the ballbarrow was also invented by James Dyson.
G