Its not really a “not playing well” with each other, it is just the mastodon works. That is the reason why most toots in my mastodon timeline have 0 favourites (upvotes) and only a few boosts… I don’t know why they do it, because at the minimum the followers of that user should be notified about that like…
AP has a tool for that called inbox forwarding and mastodon uses it for sharing the comments under posts. It works like this: you send a reply to a user with their follower collection as the recipient. You of course cannot know who is following that user, however they than just forward this reply to the follower collection, because the server knows that it has authority over that collection. https://www.w3.org/TR/activitypub/#inbox-forwarding