A number of respected scientists see plenty of reasons to assume they are random, beginning with decades of scientific research which has failed to reveal a single clue that there might be some undiscovered mechanism which forces the values to their observed magnitudes.
Analogy: If, in an effort to determine whether there is gold buried in your back yard, you spend decades intermittently digging for it and find nothing, will you continue to maintain that there is no reason to assume there is no gold there? If so, how will you answer when someone points to the strip mine that was once your yard and asks why that isn't reason to assume there is no gold there?