Not a guess, I have used their sleeves a number of times, if its a 4" tube you can use the smaller one but its harder to work with getting it on the tube, the larger of the two the OP specified is easier to get on the tube, both will work and create a nicely finished project, but the larger sleeve will be easier to work with I MY EXPERIENCE. If you buy the smaller sleeve remember to buy a fair bit of extra length so that as it opens up the sleeve gets shorter in length, with the larger sleeve buy a little extra so you have "tails" to work with.
The pictures included are of two tubes done simultaneously on a rotisserie using 3d printed end caps and spacers, the end caps were covered with clear packing tape to keep epoxy from sticking and the ends of the tubes were trimmed up when the epoxy was cured to the leather stage (pliable yet not very tacky). The tubes have not been sanded or clear coated only epoxy has been applied in the photos. How the weave changes as the sleeve shrinks in diameter is visible in the first photo.
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