In a previous life (well, it seems like it) I used to service and issue night vision goggles (NVGs) to aircrew. The helicopter ones (goggles, not aircrew
) had sprung balls to retain them on the mount, whilst the fast jet type, which were expected to see higher forces in low level flight, had a cartridge which, as part of the ejection sequence would separate the goggle from the helmet before the seat fired, to prevent a broken neck.
In the case of the helicopter NVGs, the separation force was precise and calibrated regularly with specialist test equipment. On the fast jet ones, I would run a continuity and power test on the firing circuit every time before issuing them to the pilots.
How many Go Pro users know the force at which the velcro or double sided tape will separate if they get a blow on the camera or mount? Would you be prepared to stick a block on your helmet with either material, put it on, and have a mate knock the block off by swinging a length of 4" x 2" at it?
In Schumacher's case, if it was snow that stopped the camera, the load may have been pretty evenly spread, thus allowing the camera housing and mount to take and transmit a lot of force before breaking.
On clean, smooth surfaces, double sided tape can transmit a very large force before the foam fails. If the surfaces were free of contamination when the tape was applied, the adhesive is very unlikely to peel off quickly.
Sticking anything on a helmet is adding a lever, or at least a means of gripping a surface, which might easily provide enough force to break your neck or shake your brain around in ways it wasn't designed for.