Nope, not me. If the printer senses that a cart has been removed and reinserted, then you'll almost always get a head clean, and effectively that's what's happening when you wiggle the cart. Once in a while you may get lucky, but it's not something that you can control, in my experience. Moreover, with the battery chips, there's a chance that they'll reset when you wiggle them. My only suggestion would be to do what owners of LF printers often have to do, which is to pad the carts that have this problem.
Correction - there is a way to wiggle without a head clean for the left-most six carts, and that is to do it when the printer is off. I haven't tried this with an R2000 but I think it should work. The catch is that you have to remove the cover to the cartridge bay, which is something that I always do, but you may not wish to. With this cover off, you can access six of the eight carts with the printer turned off.