With a side entry hammock, I don't see much purpose for the tapered cut. I have an OR Helium tarp that I don't use anymore - mostly because its heavy - that has the same type of cut, wider on one end. Its great for the bottom entry HH where you want coverage on the entry end and don't care about that on the other end. Otherwise, I don't see that the tapered end saves that much in weight while somewhat sacrificing middle coverage where you mostly want it.
"The rain can touch me, but can I touch the rain" - Gordon Lightfoot