The available electric starters have two things drills don't offer, the cup arrangement and the proper speed. If you want to try your drill, make sure you use the aluminum cup to contain the soft insert. It still might not have the speed to start some engines.

One of my students bought the soft insert, put a bolt through it with a nut and washer to keep it from turning, and chucked the bolt in his cordless drill. He spun the engine and spun it, and it would not start, though it popped. I could hand start the engine, or start it with my starter, he could not start with his drill arrangement. I believe the unsupported cone would stick too well to the spinner, keeping the engine from spooling up when the fuel ignited.

Also, an ergonomic note, the available starters are much more convenient and easy to handle.

Good luck,
Dave Olson