im glad you can do them, but you dont deny phisics... if you have to throw the spins differently going forward, you have to throw em differently going backwards. its as simple as that.
rodeo and flatspin are thrown one way, cork is thrown another. going doing a switch rodeo, your body moves throw the exact same motion as a forward rodeo, except you are facing backwards. the spin doesnt change at all. the same should go for flatspin, and the same for cork. if i am wrong, correct me, but i really cant belive that because you are going switch, you throw em the same, just one is inverted.
its like saying that going forward, your rodeo is a rodeo, then when its not inverted, it is a cork, when it isnt.
i think that you are either doing sw rodeo and sw flatspin, or sw dspin and sw cork, and are just getting rotations mixed up b/c people either tell you it was a sw cork, when they dont know what sw cork looks like, or b/c they may feel similar. i dont know, but i think you are wrong. this is only supported by me constatnly seeing people not call out tricks correctly (debating between cork and misty, for example, which are two totally different rotations, and people call em the same thing all the time)