I understand all three laws, but I have no idea how what you wrote here explains why this theory, which has been dismissed as inaccurate by everyone in authority for about 15 years, is actually valid.My understanding of the oxygen window is that it is an isobaric phenomenon based on Henry's Law. which relates to the solubility of gases into liquids.
Isobaric phenomenon also explains isobaric counter diffusion (a different phenomenon) encountered in gas switch from HE mixes to N2 mixes during ascent from deep dives.
Dalton's Law relates to the partial pressure of gases in a mixture and only partly explain the O2 window. You need to view the two laws together plus Boyles Law which comes into effect when you ascend.