There’s an opportunity here to see a young Kirk I feel. Imagine the excitement when they announce casting for James Kirk...With Kirk we that he was on The Farragut, but we don’t know how long he was there, and what other ships he served on
Do we know whether the Farragut was a constitution class ship in canon? I always assumed she was, but I’m not sure where that idea came from.
A young Kirk working with Pike era Spock and appreciating how great their working relationship could be might inform what we already know about TOS.
Despite his irritating game of chess, Kirk may have requested that Spock stay on as his X/O rather than bringing in someone new when he took over from Pike? Like in Into Darkness - so we know there’s precedent for Kirk to think like that...