My take is that this episode did an incredible job adding depth to Chapel, who otherwise was a not-very-sketched-out character. I think this show, at least in this way, enriches TOS.
Like, I thought to myself: Wow, all that, and he's gonna throw that plomeek soup at her. Hits harder now!
Also think Jess Bush plays the character really well, whether or not you think she's playing the "same" character. But for me, it just makes "Amok Time" richer, which is the best you can hope for from an homage/prequel.
Makes you wonder if they end up having a bit of a falling out, hence his more distant relationship with her we seem to see in TOS