With one minor caveat[0] yes I believe neither actively includes it, but GOS devs actively denounce being able to give apps root access and at the very least I've never heard LOS devs say anything similar. While a quick web search will turn up discussions/repos/articles about installing magisk on GOS anyways, they give me the impression that it's more likely to break; in particular, GOS (understandably) wants to re-lock the bootloader and that's not going to play nice with things that (necessarily) modify the OS. So like... I think you can root GOS, but heuristically I would be much more nervous about it breaking.

That said, for a user who says "I want a simple easy to use replacement for google captured android", I don't think rooting is likely a concern, so taking the more polished GOS is probably desirable.

[0] I don't have a non-magisk LOS phone to check, but I think stock LOS includes an option in developer settings to allow root for adb. This is mostly not what people mean when they talk about root access, but it's a form of root access.