I think you should watch him play more. The only thing you're partially right on is his heading ability, which he's far from bad at.
I was hugely sceptical about him as a centre forward when he signed but he convinced me very quickly with his performance against City not long after joining. He dominated Kompany which not many strikers have done.
I've watched him plenty thanks. I know you're probably not looking at it objectively as a Liverpool fan but I think you're the first person I've ever heard call him a complete striker. All players can have good games and to be fair to him he did have a good season but his finishing is still so hit and miss to be classed as complete and that's without looking at his all round game which needs improvement to fall into that bracket.
A complete striker would be more somebody like Falcao but we'll just have to agree to disagree.