Sending a tax hike to the ballot is supporting the tax hike. Voting against sending a tax hike to the ballot is opposing the tax hike.
Voting to move the tax hike forward and put it on the ballot is the equivalent to a Senator voting for a tax hike and referring the tax hike to the House of Representatives. A senator could argue that he didn't vote for the tax hike, he just sent it to the House. They pulled the trigger. Or visa versa for a House member.
The idea that moving a tax hike forward by putting it on the ballot is not part of passing a tax increase has never passed the laugh test.