From everything you said was happening, the lower shift cable is either not routed correctly, which adds a lot of tension, plenty enough to activate the shift interrupt. Or the shift linkage adjustments are not correct.
It also can be aftermarket chinesium shift cable-itis. That is if an aftermarket cable was installed.
You might disconnect at the motor end and hand shift. Should be super easy to move on land and butter smooth.
Unfortunately, that doesn't tell us much about shifting out of gear in the water. In that case the prop is turning and loads the drive train. The shift interrupt grounds the ignition until the drive train and the gears unload allowing it to come out of gear. If anything is grabbing or maladjusted, the motor will die before the gears go into neutral.
BTW, stating you just replaced the lower cable would have been useful to know in the first post..