My org of 500+ has 4 groups in it. Our annual plan had 16 major priorities, 4 of them came from me (a PE, most sr eng) directly or initiatives I pulled forward. I was in the deep meetings for my direct group. I had many discussions for the 2 ideas in other groups (one was easy actually). I'm not sure how that would rate as "excluded". I gave comment on all of the org plans and priorities in the groups (many of them have a lot of priorities I'm not spun up on yet as they're well covered or out of my wheel house). I sat in the final reviews. I'm in the promo / rating meetings. Only thing I'm really not in is the budget meetings and ceremony goal reporting meetings except when needed. That seems like a plus.
This is your experience and it doesn't prove anything. I mean, the above comment clearly said "usually" and most likely that's the case. At least, from what I saw. There may be one engineer for 4-5 managers in the group.