Want to confirm structure and how notifications work

I'm just trying to see if I understand how things work with notifications (before I potentially create unneeded additional work for myself).

Basic site structure:

Spaces and subspaces set up. They all have members (specific to each space). They all have sections/content.

I know that the notifications will allow me to trigger notifications for any section content to be sent to teams or groups or individuals.

What I'd like to automate is to somehow tie a specific space's existing members to a specific group or team. I can go to a group and give it a parent of a specific space (e.g., the "ops center space" is entered in the "parent" field in the ops center group's settings) and it will show as inheriting that space's members (when you look at the members of that group). But, if I try to send a notification to that group (that has no individually identified members -- just the inherited space members), there are none sent. They only get sent to individually added members (that were added to the group directly).

I can add members to the spaces and again to the groups, but would prefer to have the space members pulled into a group (and have it work with sending notifications). Or to a team (and keep it specific to a space).

I could be missing something simple, but I haven't yet found any documentation that indicates this can be done and each time I try using inheritance it doesn't do what I hoped (for spaces or groups) -- it appears that there's limited functionality with using the inherit option.

Thanks!