I'm going to link another New York Times article explaining what the Navy found:
The key words here, IMO, are "an anomaly consistent with an implosion or explosion".
Even though said anomaly happened in the vicinity of the Titan, and it happened around the time the Titan lost communication, confirmation of the debris absolutely had to be done. Period.
The authorities may have been 99.9% certain there would be no rescue; they may have been prepared for a search- and recovery-effort from the get-go.
But, without verifying the debris, can you image how the families would have reacted? Forever wondering if their loved ones perished?
Speaking for myself, I would want debris confirmation.
ETA: I am sitting on my hands regarding Mr. Cameron's opinion!
Secret Navy sensors detected a possible implosion around the time the Titan’s communications failed..
JMVHO.
Intentionally or not, it also gave the families time to adjust a bit before it all hit the media.
Im sure they would have been told that they were looking for debris with no hope for their loved ones survival.
I agree with you re: wanting proof of debris. You’ve got to know for sure.