Again, you suggest that there's a "certain solution" in mind, and that I should be mindful of that, which confuses me -- what is this "certain solution" I should be mindful of?
That would vary from person to person.
As far as I know, I only want better tools to discuss and understand how games are played. My only goal is to better my own game through better understanding, and to have tools to discuss things I find interesting. Is this what I should be mindful of?
Certainly, you are aware that people have unconscious biases.
Speaking not to you, personally, but about people in general - most human opinion is not based on facts and analysis. We create opinions that are based on feelings and intuition, and then support that with rationalizations - there are neurological reasons for this I can go into if you wish. But, this is why simply laying out facts on the internet rarely changes anyone's mind - because the mind wasn't made up on the facts in the first place.
This is why modern science has double-blind studies, and peer review - because the action of the mind is insidious, and can lead us astray, even if we intend and claim and vow to the heavens that we have no personal agendas. And, honestly, the more you reject the possibility that you can be biased, the more likely you are to be impacted by your bias - because your confidence in your ideological purity leads you to not worry so much about safeguards against it. I'm afraid that these strong claims of really only wanting to understand put you in a high-bias-risk category.
In this context, you can imagine that any given analyst will have their own preferred playstyle. They can't help it. And, the language they choose is very, very likely to reflect that. And once the language has style embedded in it, the whole framework is biased, and thought and analysis done with that framework will tend to have a similar bias.
This, honestly, is the larger issue with discussion of theory and criticism - we are not using any sort of guards against bias, and we reject the possibility that we are biased.