Won't it be proper to tag her as Re-class? there's no dispute that is her re-incarnation
She's not Re-class the battleship, so no. She's missing most of the visual characteristics of the battleship and isn't the same character - just as you wouldn't tag an Aquarian character by their previous incarnation, you can't do that to Rei here.
Obligatory linking to referenced moment post #1747989.
Ashigara wasn't there at the time, so she probably doesn't get it.
Yeah. And if she'd made him call off, Ashigara would be an unmarried woman who wouldn't have had Rei-chan as a daughter.
She did hear about it, but she probably hasn't linked what she heard (that he had a single strike duel using Tenryuu's sword) with what Rei here is describing (Re-class and her impression of the fight when she climbed up the side of a ship and for knocked off) .
One day, daughter will face father again. On a ship. And she will shove him off that ship before running away.
Wow, how nice!Then all of a sudden, the ship moved and Rei-chan fell off! Daddy ran away!Got it mummy!This time, go and make daddy fall off instead!Last night, I dreamed I fought Daddy! It was on a ship!