The title caught my eye because I learnt evolutionary psychology + behavioural ecology + game theory in a combined course, in university, back in the days.
I don't think any of them can be debunked, they are solid methods for studying why an agent behaves in some way. The study could be done poorly, the studied behaviour might be adequate for the current environment, or detrimental since the environment has changed. The agent could be anything from amoebas to people (but also an algorithm, company, state or alliance). You can use an evolutionary perspective if it has faced evolution - copying, mutation and selection. Just to introduce the toolkit:
Evolutionary psychology:
"seeks to identify human psychological adaptations with regards to the ancestral problems they evolved to solve"
Behavioural ecology:
"is the study of the evolutionary basis for animal behavior due to ecological pressures"
Game theory:
"is the study of mathematical models of strategic interactions among rational agents"
I think the video is needlessly long. The author (I don't know their name, just their YouTube handle "münecat") gets to the essential point fairly early:
"...and this is being communicated to a public who don't know how to engage it critically. Political pundits will use small, convenient sections of it as a weapon of truth, as others will use sections of it as a misleading marketing tactic..."
...and that's about it. People aren't prepared to use scientific methods. Just like you get social darwinism if you introduce a person with strong prejudices and weak scientific habits to the concept of evolution, we seem to have various silly approaches to evolutionary psychology floating around. I have noticed these on my own, and noted that they mostly float in a field that I would call "popular explanations to gender relations" - because sex sells.
In adequate hands, all three methods have considerable analytical value, however. You can use them to understand seemingly irrational actions, find hidden variables and build better models to predict how animals, people and organizations interact. Ultimately, you can use these tools to prevent people from doing stupid things - either by making them aware of the typical pitfalls, or by designing environments which don't have the pits to fall into. :)