Style: Without commenting on the particular case, Chukas Akum is not dependent on your personal intentions. Also, according to how we Pasken your teacher is probably right about Adar.
Ivdu: You don’t want to quote the Gemara? It says K’kelev Hashav Al Ki’o. Anyway, I’m not sure which post of mine you’re referring to. But the amount of time you are supposed to wait is approximately 2 seconds. It’s hard not to do that unless you’re trying to run forward really immediately, which I suppose is the point.