Yes, that would indeed explain it, and her uniform - not to mention the Starfleet insignia pinned to her chest - was similar enough to Ensign Crusher's that it wouldn't be hard to make that sort of leap. She nods, confirming that.

"We're not from the same ship." Or time period, but no need to toe that fine line between what was alright to say and what wasn't unless absolutely necessary. No need to add more things she was going to have to prep herself for when and if they got back to Earth. The debriefings with Temporal Investigations alone were going to be a nightmare with a capital B for Braxton.