Finnish Native, yeah, there is very little sinew on the bow. You're right, more sinew might increase the performance. However, the originals have very little sinew...and since this is a reproduction, I didn't place a thick layer on the bow. IMO, there are three main reasons for not applying a thick layer of sinew:
1. One of the characteristics of many plains bows is that they are not complicated. (Horn bows are an exception, but these are few in number). On the examples I've seen, they appear to be sinewed with a single layer of very long stands of sinew (probably buffalo backstrap). A single layer of sinew is much easier to apply, not to mention faster.
2. There is the issue of weight. NA bows are sinewed from tip to tip...without exception, as far I can tell. Thickly sinewed bows from other cultures (like Korean bows) are sinewed only on the bending portion of the limbs. If I wanted to apply a thick layer of sinew on a NA reproduction bow, I would have to be very careful not to weigh down the non-bending tips. This would make the bow much more difficult and time consuming to build and, therefore, not likely to be common (see reason 1).
3. There were at least three excellent types of wood available to plains Indians (osage, hickory, juniper) that really don't need the added benefit of a thick layer of sinew.