I'll avoid the added aspects of "Hunting"; and stick to the simpler statemement, that "Murder is murder". Incidently; while I like firearms, I'm not a hunter.

I was reared Episcopalian, and as such, was taught not the commandment "Thou shall not kill", but instead "Thou shall do no murder".  This distinction seems to be, that though all murder involves killing; not all killing involves murder. I'm a Deist now; no longer  an Episcopalian.

My personal defination of "murder", is an illegal killing of humans (illegal animal hunting, is not "murder", per se).  It could also reasonably be argued, that "murder" is the un-ethical killing of humans; but I will stick to "illegal".

The "state"; that is government (state and/ot federal); legally by statute, legal tradition (common law), and by court case decisions; often with outside influence considerations (such as international military law; either accepted, or imposed (on war losers); legally defines what "murder" is.  And if the sovereign government can do no wrong; or is not accountable for it's "wrongs" done, unless it is willing to so be; then illegal killings that constitute "murder" as defined by the government(s), untill, and unless, the government says it is both in deed, and in law: "murder"; is not "murder", though factually, a human killing.

Thus "murder" is less of the act of killing as such; and more the conclusion based on both the nature of the act, and nature of the law. Un-ethical or ethical, legal or illegal, hunting and killing non-humans; would not legally constitute "murder". In abortions; if the aborted is legally deemed "human", and not othertwise permitted by law; this would legally be, or seem to be: "murder".  But, if the aborted is not legally "human"; then it is not legally "murder". I speak  in the context of Man's laws, not God's laws.

So yes, "murder is murder", and "killing is killing". Killing is a factual act, murder is a conclusion based both on the act and law, if both are applicable. Not all killing includes murder; but all murder is inclusive of killing. [∞]