Nice!
I thought this was much nicer looking and better than your previous videos. Some not so organized thoughts:
I didn't really get the part with the dog, seemed redundant so if it's too long I would start with cutting that and tightening the scene with the wife. I thought the best parts where the climbing parts and the forum survivor stuff - especially the shot where you had your Probst shirt on was golden.
I like that you have an angle now, being the nerdy, smart and competitive yet silly/childish and obnoxious superfan. It's a sad reality that they only cast one of those per season, and it must be the most competed spot there is. You know, if you were an LA mactor or a bikini blonde or even a cop, construction worker or a firefighter, you'd realistically have such a better chance, unfortunate but it is what it is. I can't think of a better angle for you though, ultimately you just have to find the side of yourself that convinces them you'd make great tv.
The question about allotting to repeating how much of a fan you are and how much you want this is interesting. Maybe it's best to just show that with the f.ds survivor segments? Like, you wearing a collared blue shirt and putting someones torch out saying "Robz, the tribe has spoken" SHOWS how much of a superfan you are, which ought to stand out from the hordes of other fans SAYING it in their video, in the vein of Cochran having written a Harvard paper on jury management sold them on his passion. Does that make sense?
Also, maybe use the picture with Rupert at some point? You know how they love Rupert, and it shows long term commitment.
tldr: Play up the funny, smart, competitive obnoxious and comfortable with yourself qualities (and if you can think of others, all the better). I don't think "I want this so much" is the best way to stand out considering the casting spot you are fighting of.
Lastly, GOOD LUCK!!! <3<3<3 I'm giddy just thinking about how awesome it would be if you got on.