That's the thing though. Things like SARS and MERS still exist in the animal reservoirs and could come back at any time. It never hit pandemic or even endemic levels. It's easy to eradicate something in a small geographic area with a small group if people. And you're right, the severity made it much harder for infections to be missed (I think it was less contagious too).
I was just saying that now something has hit pandemic level, it's unlikely we can make it go away. If we're lucky it will end up like the Spanish flu - people build immunity to the current strain during a few years and it mutates to something less severe.
I'm not sure we can, even if we try. At least not for any practical cost. Canada has been trying to curtail, and ideally eradicate, rabies from the wild for the last ~50 years. Rabid animals are systematically culled. There's an oral animal vaccine. There's an ongoing vaccination program where they scatter the vaccine all over the place in edible treat format. The ongoing cost of these programs is considerable, running to hundreds of millions of dollars.
And yet rabies has not been eliminated from the wild. Not by a long shot. The cumulative effect of these programs over the decades is to mostly eradicate it from inhabited areas in foxes, raccoons and other species which are prone to human interaction. Actual eradication of rabies in the wild in North America, is essentially unattainable, even if we scaled current programs up massively. Too many skunks slip through the net. Unless we're going to simply sterilize the outdoors, I'm really not sure we could eradicate animal reservoirs for COVID-19.