is the "correct" method, for anyone else wondering.
It doesn't have to follow the exact formula. The formula is a crutch. For example 'you made me feel unloved' might instead be 'Today, you didn't talk to me as much as you normally do, and I felt hurt because I was wanting more attention'. The goal is to get across to the other person what you need/needed and how you felt without implying they did something wrong. If you say 'you ignored me' they might say 'What!? I did no such thing'.
Likewise the person responding to them could have tried to listen to they they 'really meant' instead of responding defensively. E.g., 'it sounds like you feel hurt because you wanted more attention?'. If you get it wrong, and the other person wants you to know, they will keep talking. If they keep saying the same thing over and over again, you just haven't gotten it yet.
Also, I caution against thinking of it as the correct way for any that don't take the scare quotes in the parent comment to heart. Eventually you may irritate someone severely by implying they are doing it wrong, and it will not help you achieve what you wanted.
Just my two cents, though. Nothing about the exchange these people had was unsalvageable or friendship-ruining, which is why I find it so funny that it's story is being used as an anti-woke polemic. Nothing bad happened here, they just ruffled some feathers and instead of telling us why, they accuse their friend of being the "therapy-speak" problem. It's practically paraphrased from an episode of Glee or something.