I think it's probably worth reiterating for anyone new who might be reading this that Kit's ability applies to the first ice encountered, and only until the end of that run. I think your characterization of "waltzing through ice to collect Temujin bucks" is a bit misleading in this context.
I think it's also not entirely accurate to characterize Kit as "playing Refractor from hand" and immediately doing a thing, since you also require a minimal stealth infrastructure for this to be true. As Smoke only needs an SMC to get going, I'd say she's favoured since Kit needs to draw Refractor plus a stealth piece (or I suppose a stealth piece plus SMC for Refractor, which feels wasteful).
I think the contemporary Kit meta, if there is one, will probably depend on obtaining more value via Houdini and Egret. Pump Houdini once and pass through the rest of the ice? Or something.
Kit also has slight anti-synergy with currently popular Indexing/Mad Dash strategies. On the second run the ice is no longer a code gate, which is easy to forget and easier to play around. Not a massive deal in some matchups I guess, but to me, Kit works better with event multiaccess and RDIs as a result of this peculiarity.