Trusting instruments without discrimination is deadly. Many instances of this have resulted in crashes and serious upsets as well.
A wiser reaction— and one you have to think about beforehand— is to ask yourself- is this real? Sim training should address instrument failure and force this thought process. At 6000’, you have the time to recover from a low speed condition without moving the column full forward. On liftoff you see a sudden, incredibly dwindling, or increasing airspeed...is it real? A quick crosscheck can prevent disaster.
Fatigue, training, natural ability...all factor in. No doubt, somatogravic illusion can make you ill and many have never experienced it first hand. Don’t forget there is another crew member to defer to if suddenly you’re overwhelmed. It can happen.