Just to support your argument, according to Wikipedia only one human disease has ever been eradicated: https://en.wikipedia.org/wiki/Eradication_of_infectious_dise...
It is thus unlikely that Covid will be eradicated, and much more likely that it will be endemic. My best guess is that when people talk about Covid being "eradicated" they are making a mistake and really mean something like "there is a vaccine"...
Yeah, I think that's what many people mean. Although I have actually talked to a terrifyingly high number of people in real life who really do think that the goal of the lockdowns is to eradicate the disease. And it's not surprising given the absolutely unclear and misleading messaging from our public health officials who appear to be more concerned with mass social control than with actual evidence-based public health policy. But now I'm ranting again...