Quick thoughts: if I focus on my own strengths, I will tend to see others as a distinction from my owns and thus risk amplifying their weaknesses when compared to me (with all the Pygmallion effect possibly entering the scene)
On the contrary, if I intently focus on the other’ strengths, I’ll tend to find in them those that resonate with mine or which can connect to mine. In thus doing, I’ll build a network of connected strengths, stronger than my own only, because of the diversity of the sources involved (not just mine but those of others as well which will be able to compensate for my own weaknesses).
With an intent focused on the other, s/he becomes a mirror through which I can see my own strengths. Should s/he be doing the same, an exponential amplification happens between ourselves (a “mise en abyme” as we say in french): we help ourselves grow our own strengths!