Should we care a lot about the safety and security of places where dangerous infectious diseases are studied? sure!
I think we should care A LOT MORE about our [apparent total lack of] ability to quickly deploy effective public health responses to new infectious diseases (regardless of their source).
Maybe it was an accident at a sloppy lab, ok, so labs on the other side of the planet in sovereign countries we do not control might make mistakes. We should get better at responding fast to save lives.
Maybe it was a sinister bio-terrorism plot. We should get better at responding fast to save lives. Bio-terror/warfare plan looks a whole lot like a good public health plan IMO.
Maybe gasp it really was from bats or something. We should get better at responding fast to save lives. This stuff DOES happen.
Maybe s/.*/I don't care where it came from/g. We should get better at responding fast and saving lives (my opinion).
If your goal is not good governance, but getting re-elected by your base, that is not something you need to optimize for.