Not me at least, I'm fine with things as they're now, as much as I was with things as they were three or four years ago too. People aren't static, and characters shouldn't either. Also, as for B:UL, if Jason isn't killing, it isn't because what anyone thinks, but because his own, personal reasoning. He's still not against killing, he's just way more aware of what the consecuences are, for people involved in between his acts.
And besides, if you want Jason as an antihero or not a villain (this is my case, at least), you better get used to him not killing. WB doesn't seem to want promient heroes or antiheroes who kill in their comics and content aimed to teens and young adult readership. Of course, this is probably a lot different for more mature content, like Black Label stories, or TV life action shows. And elsewrolds. But for mainline comics, eh... I can see, smell and even taste their standing regarding the killing characters issue. Which, well, is logical, and not only because he could be seen as non-family friendly: it's not like Jason can actually kill any character that actually matters, either. Not for real. So making him an always-killing-the-very-bad-guys vigilante is kind of wasting the time too. He would be stuck in a permanent place in where he just kills thugs who probably didn't deserve being killed, or characters no-one cares about because they're new and have no fanbase. All the time. Of course, you can build the new evil guy in a way that people would care, but that's not an easy thing to acchieve. And actually, it could backfire, and people would protest if you kill them for good. And also, you can only use that card once in a while.
Just my opinion.
It would be actually interesting if Jason finds ways of messing the bad guys lifes badly without killing them, actually. Sort of how Lobdell did with Black Mask in the first arc of RHATO Rebirth. But not even that can last for a long time, I'm afraid.
He could actually kill his own new villains, as he has before, after long arcs. Characters that Batman wouldn't have a say in because he wouldn't know, nor Batman fans, either, because they wouldn't ask for them to show up in other batbooks. But again, not an easy task to carry on with success, and not a trick you can repeat all the time. And, of course, not family friendly.