The easiest way to understand it is that the LTGovernor is not the same as the VP, it is the same as the majority leader in the Senate. Two separate offices that are not connected in any way. The LTGovernor controls what the Senate votes on, what is presented, what is discussed, etc. just like Harry Reid does in the Senate. That is why he had the power to pull Dan Patrick's bill and kill it; with or without the support of the governor.