Although I've seen this analysis a few times, I can't agree.
Yes, in 2007 you will pay one year of dues. And you will receive one year of points. The dues match up with the year of points. Yes, 9 months of the year are in "use year 2006" and that's the time you have to use your 2006 use year points. But you shouldn't match up dues with time-to-use-point. You should match up dues with points. Think about how the last year of the contract will work.
But it doesn't really matter how you match up use years with points. It's just how you pare the two up in your head. Whether you look at it the way Lisa described, or the way I look at it makes no practical difference. Your dues will still be due in January, and you'll still get points once a year, and you'll still have a year from when you get them to use the points.
The way the TSS sets up a standard contract is exactly how it was presented to you. They expect you to pay the maintenance fees for the year in which you get points. But, as Lisa said, it doesn't hurt to ask the seller to pay. Just as it doesn't hurt to ask for the seller to pay the closing costs or lower their price.