so the question is realy a nonissue when your bow creates more ke it will create more momentum , and visa/versa .
You're correct that when you increase energy you also increase momentum. But, when using the same bow and same draw weight, you can only slightly increase energy while really loading up on momentum. Doubling arrow weight will only gain a couple of foot pounds of energy (in theory)but it will double the arrow's momentum.
You're also correct that it's a non issue, but only when your bow is putting out way more energy than you need.A current model, 70 pound compound with hard cams is putting out more energy than the recurve Fred Bear used in the 60's to kill an ELEPHANT.So, yeah. It's probably a non issue for someone using such a bow for hunting puny little deer. (Although... Isn't it absurd that so many folks are shooting enough energy to kill an elephant and then coming on the forum, griping about not getting passthroughs on deer with light carbon arrows?)
If the bow is putting out barely enough to get the job done, it's a huge issue. Bear knew his arrow wouldn't be carrying a whole lot of energy in relation to the size of theanimalon that elephant hunt, so heused a 1200 grain arrow to get penetration into the pachyderm's vitals. He loaded up on momentum.
Just deferant terms to define how much energy a flying arrow has .
Sounds like you're saying the terms are interchangeable and they're not. Energy and momentum are interrelated, but not at all the same thing.