Cam degreeing. I totally don't understand.

I installed a cam dot to dot, and then checked the cam timing. It was off by more than 10 degrees (I don't remember how much but a 10 degree bushing would not correct it) from the grinders intake centerline. Had to "jump" the timing sprocket one tooth, and then bring the timing back with a offset bushing. The car didn't run as good as I thought it should. After looking at everything else, I decided to try a different cam. The only thing I changed was the cam. Kept the same timing set. The new cam fell in dead nuts to what the cam grinder said it should be at dot to dot and a "zero" bushing. Car ran much better. One of these days I will check the other timing events on the "bad" cam.