Kaga dont strike me like a salty player who lost a match with someone and will rage on it.
IMO, she'll more like gonna respect Sara in terms of her pilot's skills and determination before declaring she'll going to beat her in another round to start off the rivalry...
As I said earlier, Thompson, back at Pearl and recovered, could manage to summon Kaga there, and she pledges her service (because captured ships can totally be pressed into service of their captors, though rarely is it a ship that was sunk before the capturing... cough CSS
Virginia cough...)
...Wait a second... *looks at posted image of Sara and searches up WSG Sara's relative size* This sounds remarkably like this version of Sara will have a serious regret of not being the KanColle version, namely not being physically large enough to shield Thompson (IIRC the Pacific version should also have been large enough to physically occlude him?). But there'll also be another consequence.
Kaga's not the type. She died doing her duty to the best of her ability and knows it, clever surprises aside. She comes back, it'll be as a shipgirl highly motivated to become better.
Ah but Kaga might already be better in at least one way...
If Kaga is good-humoured, she'll later grab a tape measure, measure around her bust, measure around this Sara's bust, then give two thumbs up and an "I did it". (It's not obvious with the muneate, but the general agreement seems to be that Kaga is well endowed. It isn't impossible that her wide, fat battleship hull form out-bulges this Sara. If nothing else she's definitely thicker around the hips due to a stubby battleship hull versus a battlecruiser hull--and Wikipedia gives Kaga 0.2m more beam
)
After finishing the trolling of everyone else, Kaga clears her throat and says "Now to become better in other ways than measurements... TEACH ME, SEMPAI!" (Saratoga commissioned 16 November 1927, Kaga 30 November 1929, hence Sara is Kaga's sempai)
Then again, KanColle Sara would have been physically imposing enough (skirt is equivalent to splinter plating in durability?) to shield Thompson completely from shrapnel, with only the overpressure wave ripping his lungs to bits, which would have meant less drama... oh dear, that makes it plausible for Thompson to be fatally wounded here anyhow...
Inb4 someone writes an omake of two sisters ships' sailors watching the ships argue about breast envy (i.e. the bustier one argues that it sucks to bounce so much, you can guess what the flat one thinks) while chatting to each other about how even for shipgirls, the grass is always greener on the other side. (Surely there is an American counterpart to the Akebono-Ushio relationship...)