Yes, muting someone usually only affects whether you receive notifications from them or see their posts in your feed. It doesn't prevent them from seeing your story.
Typically, they can. Muting a person is about controlling the noise they make in your feed, like not getting their post notifications. But it doesn't restrict their access to your stories. Instagram, for example, keeps the two features - muting and story viewing - separate. So if you mute someone on Instagram, they can still view your stories just like any other follower who hasn't been muted or blocked.
Yes, they can. Muting someone usually just stops you from seeing their notifications or interacting with them directly, but it doesn't prevent them from viewing your story.
No, they can't. When you mute someone's story on most social media platforms, it's a private action on your end. The person whose story you muted won't receive any notification or indication that you've muted their story. It's just a way for you to control what content you see without the other person being aware of it.
No, generally on most social media platforms, when you mute someone's story, they won't be notified or be able to see that you've muted them. Muting is a private action you take for your own viewing experience.