If someone used that conversation template with me I'd wouldn't interpret it as an authentic discussion. At best I'd think it was therapy speak or they'd read some self-help "how to influence people" book.
Like any tool though, knowing when and how to use it is the way to get the most out of it.
"It sounds like you're feeling fed up" --> "Fed up?"
Eventually you develop your own conversational template that is authentic and effective.
But really the difficult part for most people is the listening itself. Actually getting your head around what is going on for someone else.
I don't think I've ever applied it as described in the article or those sessions, but there were a few things from then that I've found to improve how I engage with people (when I remember).
- ask questions regularly
- make sure your questions are open-ended and can't be answered with a yes/no
- avoid saying stuff like "you are like this" or "this is like that". It's safer to say things, particularly difficult things, from one's own perspective, e.g. "I think that".