I don't think anybody is claiming that science is "completely broken," but there are some who want nice, clean, logical delineations, who think that science is filling out some invisible, giant truth table. And that by each assertion in that truth table, there's a straightforward "this is how to falsify me" entry that scientists can look up and enact.

Based on how science actually works, this notion is fanciful. No such table exists. If you were to have the luxury of asking the top physicists, say, to create such a table for you, they'd very likely all look different.

Also, your comment regarding homeopathy is something of a strawman. Paradigms are incommensurate. If we do incur a paradigm shift in our lifetimes, it's likely that our current ways of speaking about science will be unable to capture it.