For context, the last time I recall this subject cropping up, the issue with SEO was still a big deal:
That said, the state of affairs since 2019 has improved. Back then search results for queries differentiating between the two versions where quite muddled. With the sunsetting of version 1, and as more and more content, documentation, and packages assuming version 2, things are better.
However, I don’t suppose colloquial references to “ros2” will ever cease or desist, given the legacy of package and GitHub repo/organization naming conventions. The formatting of the very tag categorizing this discourse post to be searchable makes this self-evident.