John Eric.
That's QM for you! However logical consistency depends on starting assumptions, so try this (as my reply to you on mine but expanded)
I show you a spinning sphere. I ask you to touch it and judge the clockwise or anti-clockwise rotation. You touch the south pole and clearly say 'Clockwise'.
Now I can make your result disappear to ZERO without removing the spinning sphere!
I simply rotate the sphere half a turn on either the y OR z axis. You find 0!
Now stay there and start again. I ask you if it's spin UP or DOWN. Easy! But then rotate 90 degrees and THAT ALSO goes to zero! (there's no up/down or left/right momentum at the equator) We can rotate either the sphere or just YOU! (and at 180 degrees you find the opposite).
The energy does not disappear! The spinning sphere is still there. It's all about at what angle we measure things. It's then entirely logically consistent once you use the correct starting assumptions. Exactly like QM in fact! Remember a two channel photomultiplier has orthogonal channels each with rotatable field electrons 'requantizing' input & amplifying to get a 'click'.
In 'superposition', if one path had one polarization and the other was at 90 degrees a 'complete' result is found if 'in phase'. A full range of detector findings is then possible subject to phase and orientation. i.e. if 2 identical states are combined at one angle the result is twice the amplitude, but at 90 degrees it will be found below the detection threshold.
It's all about understanding how detectors really work!
Peter