This mute someone on Facebook option is far better than Block.
Or you are just not interested in chatting with someone anymore on messenger.
As a result, sending them messages will take some time before they see them since there are no notifications.
When someone decides that you are annoying, they can do the same to you.
At the moment, the only way to Snooze a person or Page is from one of their posts in your News Feed.
A mute is not the same as a block.