Your super virus that you developed to only kill people living in southern florida? Yeah, that now developed to also kill people in new york. And now it's the whole world.
It would work like this: you'd design a bioweapon to hit the Jewish people exclusively (they're the punchball of history, forgive me using them again as an example but I think it is a likely occurrence if this sort of thing is to happen). Then it will may evolve to hit others.
DEFCON talk: https://www.youtube.com/watch?v=HKQDSgBHPfY (DEF CON 25 - John Sotos - Genetic Diseases to Guide Digital Hacks of the Human Genome)
This is the key point.
A CRISPR based biological attack however is something you can pull off with lab equipment you can buy anywhere in the world. For an amount of money that can be acquired much more easily. The risk to the perpetrators has always been that they would screw up and die of their own plague.
The ability to create more precisely targeted biological attacks means that a person who is working on such an attack and doesn't have the necessary genetic makeup for what ever virus vector is being used to transmit it, can do so with much less fear of their own demise. While creating something that can be transported in disguise without being easily detected.
Perhaps an analogy would work.
My kids never had to worry about European teenagers bullying them, but today's kids have contacts all over the world on social networks some of whom can be quite hurtful. There is bullying that happens because the perpetrator "knows" that the target is so far away they are unlikely to be able to cause repercussions. Thus the 'risk' of bullying is lower, and in my estimation happens more frequently.
That's not my point. I agree that the barriers to entry for biotech are lower.
My point is that whereas the only 'defence' against nuclear weapons is deterrence, i.e more nukes, it is possible to defend against biotech weapons without starting an arms race. This would consist of ongoing, costly research of antidotes by government and university labs (with a high barrier to entry).