I think you're likely very right about this.
I have seen some discussions in math circles (yes, there are math circles I travel in) that some of the proofs may need much more work in order to verify uniqueness without circular logic. Initial peer review of the original work was well-done but was not widespread. There is a lot to be discussed and argued about the proofs they have developed.
REGARDLESS - these young ladies have been brilliant and methodical in their approach and have caused a truckload of discussion. In and of itself, their recognition and awards have been appropriate so far.