What if the information could potentially be double edged (helps fight the disease or assist in bio warfare research) and you cannot control the agents that have access to the information? While obfuscation is not the answer, it def. helps.
Example: a purely theoretical biological weapon with low mortality but high economic cost and probably reduced military effectiveness. If I'm the country that uses it, I've taken measures to prepare and expect to come out ahead.
Whereas I observe 3 basic use cases for strategic nuclear weapons and only 1 (the last) is possibly comparable.
1/ game over for everyone, we'll launch left and right (Israel, I presume)
2/ I have enough nuclear weapons to make it not worth the price of bothering me (France, maybe China?)
3/ I believe that the combination of my delivery mechanisms and countermeasures give me a chance despite a generalized nuclear exchange (US, Russia/USSR).
Few know what really happened with respect to SARS-CoV-2. (I don't.) But I don't believe that the possession of nuclear weapons makes biological weapons completely 'uninteresting'.