You’re missing part of the point of the eastern philosophy being espoused here (although I doubt this Lao Tzu). From this perspective, there is no “self” and the phrase “you are not your thoughts” is incoherent. So I think the author would agree with you 100%.

Another metaphor I like is that thoughts/feelings are like logs passing on a river. They will all pass unless we start to hold onto them and build on to them. So, for the person with intrusive thoughts, it is important to recognize that the thoughts are temporary, but it is also important to take care with the type of thoughts you do hold on to. I don’t think your position is that far away from the sentiment of the quote.

Also, you may not be destined to follow your thoughts, but the types of thoughts you focus on will inevitably affect your actions. Intrusive or not. So it’s still important to keep in mind the causal connection between our passing mental states and our overall character.