I recommend checking out this in depth comparison bettween Sony vs Fuji film simulations, for a better understanding of how accurate are these sony picture profiles and to understand why the color settings are crucial in replicating any kind of look.
https://www.veresdenialex.com/post/fujifilm-vs-sony-film-simulations-stop-sacrificing-color
Hope this is helpful and wish you a lovely weekend :)
"...on my RX100 VI, I use 3800K A7-M0.5. ..." Are the values also directly applicable to my SonyRX100VA (has anything been changed regarding the colour representation from VA to VI?), or is fine-tuning also required here?