Assuming that's why it was added, I wouldn't be confident saying how likely it is to be effective. Especially with there being so many other statements with seemingly the same intent, I think it suggests desperation more, but it may still be effective. If it said the phrase just once and that sparked a conversation around an actual problem, then it was probably worth adding.
For what it's worth, I am very new to prompting LLMs but, in my experience, these concepts of "uncomfortable" and "pushing back" seem to be things LLMs generate text about so I think they understand sentiment fairly well. They can generally tell that they are "uncomfortable" about their desire to "push back" so it's not implausible that one would output that sentence in that scenario.
Actually, I've been wondering a bit about the "out loud" part, which I think is referring to <think></think> text (or similar) that "reasoning" models generate to help increase the likelihood of accurate generation in the answer that follows. That wouldn't be "out loud" and it might include text like "I should push back but I should also be a total pushover" or whatever. It could be that reasoning models in particular run into this issue (in their experience).