I'm not going to bother watching the video (my time on Op Met is enough for me to already know) but I will say this; It isn't necessarily due to bad players (save for the bandwagon newfag casuals that should go back to CoD) what it really comes down to is these three things:
1. Lack of communication - BF is a team oriented game, not some solo, one man army "look at me. I'm a boss, look how many killstreaks I have." arcade shooter. A well organized team that knows how to communicate in a mature manner without barking orders at each other and talking crap can dominate every match (DeeJ and his clan are a good example of that... They kicked our asses).
2. The scoreboard - I can't speak for other BF games as I've only played Bad Co. 2, 1943 and BF3, so I'm not sure how it was with the other ones, but in Bad Co. 2 your kills were not displayed on the scoreboard causing no distractions from the objective and teamwork. That's where BF3 made a mistake, displaying the number of kills a person has only makes them want to focus on getting more kills when that isn't the point at all (I've played matches where I went negative, sometimes with no kills at all, and still did more for my team than the people with the most kills). This kind of goes hand in hand with my last point.
3. Map design - The maps, while being some of the largest in a BF game had lot's of areas that force interaction with enemy players, creating more of a fast paced feel and an incentive to camp, but not for the sake of protecting the objective, camping for the sake of getting kills. This eventually leads other players on both teams to do the same as that top player on the scoreboard that has a bunch of kills which causes some very chaotic cluster -blam!- moments in which everyone forgets what the word 'flank' means.
All of this is in regards to BF3, as I have yet to play BF4 and am not sure if I ever will, but I'd assume those three problems that plagued BF3 have befallen BF4 as well.
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Lack of communication I completely agree with. Map layout is subjective to the given situation. I'd personally think that, if kills didn't show up, people would still push for kills since they'd see how much points they have.