The whole thing is just completely silly. The focus should be on the true cost drivers like healthcare, insurance, child care, and housing.
It was not really plausible for Republicans to say they are going to do something about healthcare or insurance (I mean, hopefully that isn’t controversial—it isn’t like they are lying about that, healthcare just isn’t part of their platform). It was a folksy way to complain about the economy under Biden without complaining about capitalism.
Now it is a folksy way for Democrats to complain about the economy, that doesn’t require bringing up the fact that there was some inflation under Biden. And it has some vague healthcare relevance (since bird flu might jump to humans).
The way stuff gets talked about in America now is intense focus on extremely niche stuff. Our legislative branch is not really functional anymore, so we can’t talk seriously about solving big problems. So, let’s put a on our blinders and talk about eggs. The eggs represent our whole system, it is dumb as hell.