IMO people just use the term to mean “pro-Israel” rather than in any reference to the original meaning ("supporter of the idea of a Jewish state"). Which could mean any combination of “pro-American financial support for Israel”, “moral support for Israel in their various military actions”, “opposed to the creation of a Palestinian state”, “a belief that Israel should continue to exist as a Jewish state”, and so on. It's more about the broad political alignment than the specific meaning of the word.
Thank you for actually answering my question. That is very vague and explains why I find the word so annoying.