^^^n the theatrical release the scene starts with "Make your point, Doctor." The reason they cut those lines is they're not necessary.
I think they are. The DE and theatrical versions of that scene start right in the middle of the argument, and not in a good way. In the SLV, the "And another thing..." gives a pretty funny impression that the argument's been going on for awhile, but it doesn't do it unnaturally. Then McCoy gets deadly serious with his line about "command fitness."
For the scene to suddenly start with him mentioning to Kirk that "the point is that it's you who's competing," cheapens that line somehow. Even if Kirk gets to say "Make your point, Doctor" first, that line means nothing if we don't get to hear WHY Kirk said that.