I tried to find a StackExchange community focused on singing and voice acting, but I figure this was the closest I could find.
Since vocal chords are muscle, perhaps they stretch a certain way going high pitch, but maybe the opposite going low pitch? I suppose this can cause strain, but I don't know anything about them but just theorizing. If you do static stretching before weightlifting, I know it loosens the muscles too much to where they aren't as firm so it reduces the power when contracting like for bicep curls, kind of like turning a rubber band (muscle contraction) to string (relaxed/stretched muscles).
From my experience personally, if I try to sing on the same day near the top of my range (excluding falsetto) like up to 2 notes away from the top and then also near the bottom within 2 notes of the bottom, my throat will hurt. However, I haven't tested all scenarios. I've done singing high only on one day (excluding falsetto) without problems, but I haven't tested singing low only on one day.