Hawking radiation is emitted only if an event horizon is present i.e. only if the object is a black hole. So masses like the Earth, or my coffee mug, are not going to evaporate by emitting Hawking radiation.
As you would expect from such a click-bait title Siegel's article is misleading, which is a shame since Siegel is a well respected physicist. Hawking did his calculation using a process called a Bogoliubov transformation. There is a non-mathematical description this in the answers to An explanation of Hawking Radiation though even this will be hard going for the non-physicist. The actual mathematics Hawking used will be utterly impenetrable even for most physicists let alone the general public.
In his original paper Hawking says:
One might picture this negative energy flux in the following way. Just
outside the event horizon there will be virtual pairs of particles, one with negative
energy and one with positive energy. ...
It should be emphasized that these pictures of the mechanism
responsible for the thermal emission and area decrease are heuristic only
and should not be taken too literally.
So he makes it very clear that the explanation using virtual particles is a metaphor not a real process. Siegel's complaint seems to be that Hawking used this metaphor in his popular science book A Brief History of Time, which is true but then if he had gone through the actual maths used it would have been an unpopular science book instead. I am not aware that Hawking used this explanation in any scientific publication.