No, i don't think it will solve your issues. Because except the RGB vs. non-RGB, they are exactly the same modules underneath. There is just one type of hardware that allows this high speed and low timings, and they use the same hardware for both kits, just with a different heatspreader on top of it.
F5-6400J3239G16GX2-TZ5RK has RGB
F5-6400J3239G16GX2-TZ5S has no RGB and is silver
Otherwise identical, as usual with G.Skill. So you can just search the QVL for the first part "F5-6400J3239G16GX2-TZ5" and it will apply to all variants of it.
Even if they were different underneath, the QVL is not "either-or", it just means that the RAM that's listed on there was tested for sure, but it doesn't many any RAM that's not on the list is incompatible. On the contrary, a lot of other RAM will also work fine.
But you have a more general problem in that this RAM has a very high-end XMP profile that's scraping at the limit of what is possible with current DDR5 technology.
At this level, you are never guaranteed that everything works problem-free. Even if it is on the QVL, your CPU's memory controller is different from theirs. For any slower RAM, this wouldn't matter much.
But you are at the pinnacle of this technology with your RAM, and it just won't work everytime. Maybe they will improve this with further BIOS versions, but for now, i would suggest something else.
Load the XMP profile, but before pressing F10 to save & reboot, set "DRAM Frequency" manually to something lower. See if DDR5-6200 works. If not, try DDR5-6000, still with XMP enabled.
This might work and you don't have to buy anything new. Then once a new BIOS version comes out, you can try again with XMP DDR5-6400. It may work one day, or it may never work.