It depends on how your platform handles unsolicited posts and whether it supports threads and the concept of conversation containers.

For example, let's compare Mastodon and Hubzilla.

Mastodon does not notify you of replies to your posts, but does notify you if someone mentions you. It does not support threaded conversations, which means that anyone can comment on your post without your permission. You can block people, but that does not remove their posts or mentions.

Hubzilla takes a different approach. Conversations are organized in threads, and the thread has a conversation owner. It is similar to how Facebook works in that regard. If you create a top level post on your own wall, you own that conversation. Similarly, if you post in a forum/group, the forum/group owns that conversation.

As such, they can control who comments on it and even delete comments. You can even make private or group conversations that only certain people can participate in. Unsolicited comments are either discarded or accepted for moderation. They only appear if approved by the owner of the thread.

And there are additional filtering and notification settings available.

Because of this difference, undesired posts are more like to appear on Mastodon than on Hubzilla. And even if they do appear, they are easier to remove.

The more tools you have to control notifications and what appears as replies to your posts, the better. But it also makes the system slightly more complicated. Think Facebook vs. Twitter. Both are social media, but how they handle things are very different.

I am guessing that some platforms will fare better than others, and many platforms will have to adjust how they handle incoming posts as more people arrive in the fediverse.