Yeah, the inverted quotes look prima facie worse or just obviously false to me.
And often yes, it is due to what you have pointed out.
I mean the first inversion sounds like the most unhappy thing a person can do:
>>>Their Inversion: Learn not to let go. That is the key to happiness.
Learn not to let go? Ok, thanks infinite compounding intrusive rumination. Also people are loss averse by nature so very few people will have to "learn" to "not let go".
Then there is this one, where the inverted statement is so awful the had to fudge and qualify the whole thing.
>>> Quote: Happiness is not being pained in body or troubled in mind.
>>> Their Version: Happiness sometimes is being pained in body and troubled in mind.
>>> The real Inversion: Happiness is being pained in body or troubled in mind.