Notice how in the video he removes all the spokes with an angle grinder and we never see them again. then he chops up the rim into four pieces, which has the effect of making it come apart a bit. On that basis, it would seem, to this non-fisher, that the spoke count and length is entirely immaterial.
You say it is a 26 inch rim, it looks like it might be about 20 mm wide, so not super wide. probably the width doesn't matter anyway. The wheel diameter will affect the length of the four pieces, so presumably a bigger wheel size will give more leverage in the bow and a slightly lighter action. but not by a whole lot.
Pick a wheel that looks a little bit like the one in the video and you'll be golden.