Quarantined messages are kept only inside 1krBlocker, not in Android's shared message store, so other SMS apps can't see them. If you want them there (for example before switching to another SMS app), you can move them all at once.
- Open Settings → Data.
- Tap Move quarantine to the SMS store and confirm.
"Turn protection on first: only the default SMS app can add messages to the store.": only the default SMS app may add messages to the store. Make 1krBlocker your SMS app for a moment (see "Make 1krBlocker your SMS app"), move them, then switch back if you want.
Their warnings and reasons stay in 1krBlocker. Once in the store, other apps show them as ordinary messages, with tappable links, so be careful with them.
When you switch away from 1krBlocker, it also offers to do this for you.