The article is not strictly correct. A more detailed explanation can be found here: https://msdn.microsoft.com/en-us/magazine/jj991977.aspx

Exceptions actually bubble up to the active SynchronizationContext, and won't necessarily kill your process. In ASP.Net, aborting a request on an error is often desired behavior.

Still generally good advice though. Issues arising from accidental async void use are often very tricky to track down, and in my own code I only use it for fire-and-forget-best-effort event handling and run them all in a SynchronizationContext that captures and logs the exceptions.