It's annoying that there's a similar sounding but totally unrelated Kirchhoff's circuit laws from ee; the really crazy thing would be using secure multiparty computation (circuit evaluation...) to show some kind of artificial relationship between the two laws (in that one special case), just to troll people more.
Not only that, there's also Kirchhoff's law of thermal radiation. https://en.wikipedia.org/wiki/Kirchhoff%27s_law_of_thermal_r...
Boy that Kirchhoff guy's been a productive fellow.