If the current situation persists for too long, then I believe yes... Bitcoin will be damaged, and the small Bitcoin holders will get out of the boat first, not before paying a premium for their transaction fee to fiat, of course.
If you see the other side of bitcoin in benefits and the price I think bitcoin never die. Compare to the past history of price of bitcoin its a good sign that bitcoin has a good future. From hundreds to thousand dollar of price of bitcoin, more people encourage to use this. This time more countries and investor want to invest in bitcoin because it is legit and a good business.