In such a system each component still needs to be interruptible. If you're waiting on a blocking operation like disk or network I/O, the caller might give up but the request will still hang around until completion at which point it gets thrown out.

In the case of a blocked process, you may be able to force kill it at a system level but then you risk uncleaned up state (leaked connections/resources)

For instance, this is the default behavior with Postgres (queries complete even if the connection is closed)