They could be trying to beta test the weaponization of the Streisand effect. Attempt to measure the extent that how allegedly sensitive/contraband material spread, etc.

It strikes me as odd that this attempt is being made to censor/suppress a live streamed event that is certain to be viral; when everyone knows that it impossible to actually suppress.

Imagine if "leaked" footage or documentation about the existence is aliens or some pandemic disease was circulating. TPTB would definitely be interested in the methods of circulation etc in the preceding years/months. This info world be indispensable in formulating a strategy.

Also, locking down New Zealand may be an early milestone in their planning. It seems to be a likely destination for elite peppers, etc.