WAIT And if it were a battery ignition system, you would be right, but some of these small 2 strokes are magneto ignition systems. You can tell by looking at the LT wires to the coil 1 = magneto system 2 = battery ignition system
If its a magneto system and you connect Red to Black, BANG goes your fuse , you just connected battery + to chassis!!
so ...if its a magneto system, ie 1 wire to the coil it should run with the ignition switch disconnected, yes it sounds daft i know but with the ignition key in the off position there is any easier route for the electrickery to flow and that is down to ground, This is how the key off position stops the engine. so disconnecting the switch means this cannot happen!
If it does run without the switch, you will need a functioning kill switch to stop it, unless of course you re fit a key switch. Also the lights indicators neutral lamp etc wont work until the key switch is fitted