My feeling is that the arenas are just trying to make it as easy as possible for them to still be able to host events such as this in the current environment.
As much of a distraction/inconvenience that it may be, it seems more and more venues are moving toward these types of policies, so if your goal is to not show any medical info to anyone, it may become more difficult for you to go to any sporting event.
Hopefully all this crap clears up soon (not likely), but I'd rather see them do something like this rather than just cancel the game entirely and we don't have any hockey to watch at all.