Earlier quoted context omitted.
"I'm sorry for how you feel" is widely accepted as a non-apology in English. Sincere apologies show awareness of how one's actions led to the situation that would require the apology.
That's great but we're not all native English speakers. And "I'm sorry for you" seems like a hollow phrase to a Dutch person but this is used all the time in English. It's like how you say "How are you" when you really don't care but it's just how you start a conversation.
The "I'm sorry you feel this way" is quite a recent phenomenon. It started showing up in public apologies by companies and celebrities, purely for PR. It's basically a deflective euphemism for "I'm sorry that you don't like whatever happened" without really admitting culpability, sidestepping all responsibility.
With that said: I don't even know if the author (Kiki) is a native english speaker, since she's part of other language translation groups, so it might be 100% without intent. But that's how a lot of people perceive it today.