To me, "not going out on a limb" would look something like "we're not completely sure of the ins and outs of this thing, so in the meantime let's be on the safe side, here's what we're pretty sure will help, more when we know more".
The thing is, the WHO _did_ "go out on a limb". They actively assured people that it _wasn't_ airborne.
Moreover, when they changed their minds and backtracked, there was no campaign like "hey everyone, sorry, we called this one wrong - please revise the protocols you built on top of our mistake".