Though I did wonder why when, at the end, Worf identified the other ship as the Bozeman, the D's computer didn't pipe up with an alert saying "holy shit, guys, we've been missing that ship for 90 years!".
TV dramatics. Just like in Yesterday's Enterprise
, when Tasha reads off the ID on the other ship. "NCC 1701-C, U.S.S. ...Enterprise." But Picard doesn't act stunned until she gets to the Enterprise part.