I have one that goes down to and fits a 2 mm bolt , in my trade I use it a lot.
I am sure you do, but it is not a tool for the layman. Being made of hardened steel, these things break very easily. I would imagine that a 2mm one would break at the slightest indiscretion with the tap handle. Secondly, getting a hole drilled down a 3mm bolt requires skill and preferably a jig of sorts. I doubt someone with a hand drill can do that, especially on a handlebar that's difficult to clamp and keep still.
The Grabit doesn't require much skill and the tool is robust. It works great on small dia screws.
I have another extractor set for precision jobs. It comprises a couple of varying thicknesses shafts with splines and a special socket that fits each shaft so that you can turn it. First you drill a hole in a dia made for the shaft, then drive the shaft into the hole, then fit the socket and turn. Each shaft also has a drilling jig so you can centre the hole and get it nice and straight down the screw. Again, not for the layman.
I'm a sucker for tools and I usually have more than one solution to a single problem at hand. But some are appropriate for the job, others not. I feel the Eezi out is not. I had a 1964 Mercedes 230SL with an Eezi Out stuck in the engine block. I had to remove a welsh plug and the bolt - as they do - broke off in the block. I botched the Eezi-Out because of the difficulty in working where I had to. It snapped off when I didn't apply torque perfectly perpendicularly. That posed a huge problem because you cannot drill into an Eezi out. There is one very innovative welsh plug in that block. When I sold the car I wrote an accompanying note to be kept in the service manual so that the next sucker understood what was going on in there.