No.
Mostly because I'm really not into dogs. Lovely animals, just not sexy for me.
But also maybe more importantly, because a livestream sounds like commercial exploitation to me, which is something an animal really shouldn't be involved in at all. I'm pretty old-school when it comes to that, Z.E.T.A. principles old-school.
A difference would be, if it was not a commercial but rather a private stream, only intended for a selected few people and only, when sex was happening anyway, camera or not.
But then again, not into dogs and also not really into zoo-porn, so I'd pass. I'd probably also pass on species I'd be into as well, because the sex should really be something intimate between the animal and person doing it, not something to be broadcast to entertain others and something to brag about.
So I'd most certainly pass.