For the site rec to be dismissed, but not blocked.
Site rec is blocked instead of just dismissing it.
(Although I'm not sure if this has been actually blocked or the error message being displayed is just incorrect or worded incorrectly.)

Update: I rechecked this and apparently, recommended sites are blocked once a user dismisses them.
If a user blocks a site, this site should no longer be recommended to them ever. However, the site shouldn't be blocked. They should still show up in their Search results or they should still be able to access this site's stream of posts.
Dismissing doesn't mean "blocking"; it just means "don't recommend this to me again."
Internally this dispatches READER_SITE_BLOCK @Automattic/reader what does blocking vs dismissing mean in this case?
I checked this again and apparently, we actually do block a recommended site that a user just dismisses. I don't think we should do this. Dismissing a site recommendation just means, "Don't recommend this to me again" which doesn't necessarily mean "blocking." In Reader, blocking means you also won't be able to view the blocked site's stream of posts. If they just dismiss it, they should still be able to.
@jancavan To clarify requirements, when I dismiss, how long is that recommendation dismissed for?
To clarify requirements, when I dismiss, how long is that recommendation dismissed for?
It's more logical to dismiss it forever. It shouldn't be recommended to them again, however, that doesn't mean this site won't show up in the Search results. They should still also be able to see this site's stream of posts.
@jancavan do you mind updating the summary with the new requirements? It's always handy to have the top summary accurately reflect the issue needs without needing to read the full thread.
I wholeheartedly agree that this should be a 'soft block'.
We need to do some work on the backend to make this happen, either storing a flag against existing blocks, or storing these soft blocks somewhere else entirely.
We should also consider soft blocking for discover content - p2-p5PDj3-12A