Subjective value (at least in the Austrian sense) does not mean you just make it up and it can be whatever you want
Subjective value means you value a good based on the highest use to which you (the subject) can put that good
For Bitcoin that highest (and only) use is trading it to someone else, which historically does depend on fiat. When the value of fiat goes to zero (because it is no longer desired in trade), the value of Bitcoin will go to zero in the same way and for the same reason.