Well, in the books he is, I mean in the show?
Those of us who hated him in Season 2 or read the books were quite surprised to see his HeelFaceTurn in Season 3 when he protects Aethelflaed and falls in love with her. When he disobeys Aethelred's orders to make the better decisions, Aethelred stabs him with a knife, saying "If you live, never disobey me again."
When Aethelflaed finds him bleeding, she says she stopped the bleeding, hopefully, and he says "a gut wound is a slow way to die", she says a gut wound can heal. He confesses his love for her and that "if I can't say it when I'm dying, when I can I say it?" And she says he's not dying. We don't see him again after the scene.
Who should we believe there? Was he dying or not? Is he dead or will he recover?
Since his book counterpart died in Book 5, part of the Season 3 equivalent, there's no incentive for them to keep him around in Season 4, even though they drastically changed his role. But with his redemption and love for Aethelflaed, we WANT him to survive now (and maybe be the one to stick a sword in Aethelred next season, though books had it so he was mortally wounded in a fight with Cnut's army, but they changed Skade and Bloodhair's deaths).
Furthermore, a review I read mentioned him confessing his love after being fatally stabbed.
Of course it'll probably be ambiguous until 2020 when Season 4 comes out (given the previous two hiatuses were a year and 3 or 6 months) but what do you think? (I hope he survived)