In some cases management is afraid and thinks that they need to appear to be positive and unwavering. I would advise to play along and not to feel like you need to actually be productive at this time
To the extent possible, I would even recommend being open with them about how counterproductive you feel this is.
This is my opinion too, and I see the value. Having at least one part of your life that seems "steady" helps when the rest is upended. It can come across callous if that is not communicated though.
As we would sometimes say in the military, “Yes sir, yes sir three bags full!”