great analogy.
As it happens, I just bought a new car. She is fast and very nice to look at. I wonder what to make of this? 
I am in fact a guy. And this is the first time I have been referred to as ‘they’. I feel very woke now!
I’d recommend leasing. 
Wit until someone refers to you as “zi”. 
I found that…surprising when it happened.
My brother and his wife attended it years ago. He became increasingly blunt, confrontational, and generally unpleasant. Not sure if we can ascribe the change to Marriage Encounter or if it just landed around the same time by coincidence. He had converted to Catholicism—not blaming Catholics, but he started acting better than everybody else as well, maybe showing his new tribe he was different from his old life or something.
There are different groups with similar names. Hopefully not paywalled…
The nation’s largest encounter group, Worldwide Marriage Encounter, grew from the Port Washington unit formed in 1968. is strongly associated with Catholicism. A second group, National Marriage Encounter, was organized in 1970 after its leaders broke away from Worldwide Marriage Encounter. National Marriage Encounter, also Catholic‐oriented, is a less tightly organized unit. There are number of Jewish and Protestant groups as well.
Counterpoint/food for thought:
Unless the person being counseled is prepared to admit they are the problem and they are the ones that have to change, it’s a total waste of time, imho.