It has to be caught by the tower. If it’s an offshore divert even if nothing is technically wrong with the booster it will resolve no. For example flight 5 would've resolved YES and flight 6 would've resolved NO.

If there is some kind of in between state where the booster is caught but not safely and is destroyed while still held by the catch arms that will resolve NO. (SN10 for reference)

If it is removed safely from the catch arms and then an issue occurs that will resolve YES.