"Hmmmm....If I were you, I would get a new dance teacher....I have been teaching InterAmerican style *Internation & American* for over 10 years, and I can tell you this with confidence that you are indeed being instructed incorrectly....International and American Rumba begin on 2 different counts, but both begin on a slow......"
For an alleged dance teacher, you sound pretty ignorant.
Rather obviously, all of these spot dances are cyclic, and have no real beginning or end to their repeating patterns.
Of course you have to start the dance somewhere in the pattern, but where you choose to start is of no lasting importance, and varies widely by preference.
In rumba you also have at least three different patterns. But each pattern has many possible, fully legitimate variations on where in it to initially start.
Learn a bit before your criticize...