Structurally they are similar enough that we can communicate. The discovery would be altering our science, but every attempt to exchange beyond technicalities and niceties is somehow incredibly boring to both sides.
After the initial awe, it would be like, yeah, we know aliens.
i think it’s more likely that they are so different from us, that just a few nerds of both species keep communicating, because there isn’t much to gain. for example, they could live in a gas giant and would instantly explode in our atmosphere and we would be crushed in theirs. they communicate with each other with radio waves and would go batshit near our planet with its many radio devices and they use echolocation to see because their atmosphere is not as transparent as ours. we couldn’t see them if we visited, not even from space etc… and that’s just an example. there are so many ways we wouldn’t match in a way that would make sense to spend time together.