Not in our case. Tuppence (the non-squatter) was only second in charge. The one who squatted for me was top dog in the coop and was always mounting the others to keep them submissive to her.
Unfortunately squatting, or more accurately NOT squatting, isn't an indicator either.
Of my original three BA pullets, I only had one who squatted before she started laying. The other two just started laying eggs without ever squatting. When the "squatter" died one of the others suddenly...