Sure, but I think there's not much of an argument to wrap up around that observation, because, as I said, in the period between ~Oct 14 / now, my sympathy for Palestinians has grown. My support of a ceasefire has grown. I, like almost all humans, have sympathy for thousands of children dying. Do you want to classify me as someone who supports Palestine?
Again, though, since to your point the specific wording of the poll matters, go back and actually read what was being asked. Do you have MORE sympathy for Palestine than Israel? If not, then no, you'd fall in the Israel bucket here.
This was literally the most up-to-date poll I found, I didn't intentionally seek out one that was more flattering than normal to Palestine, but even if you look at the NY Times polling round up there, you still get the same message as the one I'd posted - Americans still favor Israel over Palestine in aggregte, but the margin is shrinking and there's been an increase in support (if from a low base) from Palestine. There's also growing discomfort with Israel's actions even amongst their supporters, and there are material differences between how liberal and conservative voters, and young and old voters, see the conflict.
So, again, I don't think indefinite US popular support for Israel can be taken for granted; clearly, public opinion CAN be shifted, since it's already happened a little.