Yes they are ideologically aligned with zionism, that does not mean they are controlled by Israel.
The outcome is similar, the analysis and legal ramifications are very different.
Yes, many are bought by AIPAC. AIPAC works to the benefit of the Israel, but it recieves it's funding from wealthy american christian zionists. Again, aligned with zionism, not controlled by Israel, not the same.
(Until germany shows up and fucks it all up)