This scenario is certainly possible
However, it won't be Bitcoin's fault. The point is, you can't actually say that it is Bitcoin that acts mean. If it goes below 3k, it will most definitely be due to some external event affecting the whole economy. For example, the infamous March 12 crash was due to a stock market crash, and Bitcoin only followed it. Of course, it showed pretty clearly that the cryptocurrency market is not a thing unto itself or entirely disconnected from the external world