Generally if you fully choke an engine such that it's soaking wet, you can release the choke entirely and the engine will run. I say this with about a gazillion years in the small engine industry and the hobby.
So, Position 2 should be Choke on Ignition off. Position 3 choke off, ignition on.
ANY TIME you have Ignition enacted you have the possibility of the engine roaring to life. Hence my sequence preference.