The confusion was about naming when it came to the White Walkers and their dead army, not about which is which.
There's a recurring gesture the show makes, maybe I've been choosing to ignore it but it keeps coming back every now and then; it's the notion that Daenerys Targaryen is the good guy, the main one, the one we're waiting for to prevail, which I think is B.S frankly. Daenerys is power hungry like everyone else, she is after the throne just like Stannis and all the kings in the original war of kings that followed Robert's death, hell Robb Stark had a more noble purpose for fighting than she did. This last episode Tyrion asked her a question I've always wanted to ask; why not stay in Meereen and have her kingdom there, she says cause Westeros is home! She's never lived there in her adult or even teenage life, Westeros is as much her home as the old ruins of Valyria, but their are no people to rule and play queen with in Valyria so Westeros is where she wants to go.
I think Jon Snow is the only genuine "good guy" among the adult lead characters, the only truly selfless/honor first/greater consistently good character and Tyrion would come in second to that, the notion among fans that Daenerys is Jon Snow's counterpart or equal on the other side of the world is ridiculous to me.
I'm not saying there's got to be good guy hero type of character, I'm just saying I feel the show is trying to make me think there's one and it's Daenerys.
/rant