Can I get stronger by reading a formal definition of 'nakade'?
Probably not, you are too strong for that to notice an effect on your strength. Nakade definition is ca. 30k level of go theory understanding. Related applied research can make you stronger (unless you already know it), such as semeai theory, which relies on a definition of semeai-eye.
However, as a follower of Kageyama, I believe in the power of the fundamentals. The clearer one's understanding of the fundamentals (such as knowing what is vs. is not a nakade), the more accurately / faster one can apply it (e.g., to solving LD problems). Probably, you cannot figure the effect. As little as you can figure the effect of having solved a few more LD problems. The effect is too small to be measurable, but IMO it exists.
See also
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