To Kamelchaser's observation "You can't train for this "sensation experience" of this event in a simulator. The only time you'll experience it is in the real aircraft..."
Well, that's not entirely true. Firstly, the RAF and RN pilots were taught about somatogravic illusions in rigs specifically design to create them, and very strongly so the lesson of trusting instruments over feel could be emphasised. You can even do it with an office chair - get someone to spin you fast and then put your ear on your shoulder! Secondly, full motion simulators such as those used in flight training and fair ground rides rely entirely on somatogravic illusion to create the impression of acceleration in each axis.
The effect is very strong, and most pilots will suffer it from time to time. US Navy fast jet pilots have to do carrier catapult launches hands-off purely because of so many pitching down into the sea as they accelerated.