Those smart enough know that the only real purpose of BTC right now is as a vehicle for transaction of fiat money, without being exposed to the scrutiny of the government checks and the global banking system, they understand that bitcoin is not a commodity, not a store of value, and it never was - to them it doesn't matter if the price of one BTC is $1 or $100,000. It doesn't change anything.
The point is that this is exactly a fundamental of bitcoin and of its value. Although you may think that using bitcoin as a currency (in this case for a very limited market) has an arbitrary value, that is not true. There will be a demand for bitcoin for exactly that purpose and as bitcoins will be held a certain time in between transactions, that corresponds, with the monetary formula M x V = Q x P, to a certain price. It is true that with short holding times (high velocity V) and a relatively small market Q, this will imply a rather small price of bitcoin (1/P). But that price will not be arbitrarily low. It will be determined by the demand for coins to do exactly those transactions you are talking about, as they need finite time to complete (so you cannot use a single coin going back and forth to transmit a few billion $ worth, there is a real demand).
My guess is that the current fundamental of bitcoin at this moment for that purpose is in the single or double digit ballpark. As long as bitcoin has that use, it will have at least that price.