There is unfortunately, that I know of, not a better replacement belt for the Linn Axis (or LP12). I had hopes for the Thakker belt but the 0.5 and particularly the 1.0 Hz component increased significantly. I also think the Thakker belt was slightly longer than the Linn Belt. Values below are for just visual centering without the USB camera, so the 0.55 Hz component is a bit different. The point is though that the 0.5/1.0 Hz is huge on the Thakker belt. So no cheap alternative yet.
Thakker belt, new:
Original Linn belt 3 years old:
Thakker belt, new:
Original Linn belt 3 years old: