Actually it is very similar, both are invasive predators, which is all that really counts.
As for your examples
1. Pickeral should not be classed as a sport fish in NS, a great example of miss managment of our fishery buy the government. The bounty is for trapping not killing them with a firearm. DNR is aware of the distruction these invasives can do to other species and know that the population has to be kept in check. As all invasive predators should be.
2. This is BS, just because people can't learn to live with animals and keep invading there habitat doesn't give us a right to kill them. There's way more grizzly attacks, black bear attacks or cougar attacks out out here in Alberta and in BC than there are of coyote attacks accross canada, should we be killing all them too.
I think I've already told you this, but there is a big difference between a pickeral biting a trout and a coyote biting a child. If you continue to say that there id 'no difference' because 'they are both invasives' then you attaching more importance to a word than you are to reality. And it's reality that 'really counts'.
And, one more time, chain pickeral are only a 'game fish' in N.S.; not a 'sport fish'. Only salmonids [including the 'invasive' browns and rainbows], along with the 'invasive' smallmouth bass, are classed as 'sport fish, here. Pickerel get no more "protection" than perch and suckers, under game laws. Sometimes less.
And, in agreement on the coyote point;-- like bears etc., killing must be a last resort. And as I point out time and again, coyotes are clever. Teach them a lesson once and they seldom if ever forget it. Unlike our own kids.
Moreover, coyotes know how to teach their children well. One learns a lesson the hard way, but the pups learn without the pain. But a dead coyote can't teach its pups anything. Traps and poison bait only teach coyotes to avoid traps and poison bait. Large numbers of dead coyotes will spur female coyotes to bear more pups more often. Overpopulation of live coyotes tends to correct itself in the wild, but where humans have livestock, pets, children, even garbage, this natural birth control mechanism probably doesn't kick in. Drive them away from humans by teaching them that we can be as nasty as skunks and porcupines if they get too close, and maybe they'll learn to stay away from us. And so curb their own numbers. Use pepper spray, wasp and hornet spray, etc. Hurt, don't kill. If all else fails with any particular coyote, get DNR or the RCMP to shoot it.