A worn denim color came to mind when I first looked at the photo, but that is going to be a hard color to execute with plain paint. A bluish-gray? The background color in the vanity? I think this might be a room color you might need to tweak once you move into the house? It wouldn't be that hard to repaint.

BM October Mist might work in LR BM Wind's Breath may work in Bath Paint LR all 1 color or paint the top the same color as the trim

Food for thought: when people start getting cataracts, they tend to see things in a more yellow or even brown tint. I sometimes wonder if that’s why some people lean toward the cooler end of the spectrum. That being said, I don’t think 4000k is terrible for a bathroom or even a dark kitchen. It’s actually fairly neutral and still has a slight yellow tint. To my eyes, 3500k starts to look too yellow. Now 5000k is too much for most indoor places (though I use them in my basement). You are correct that CRI is important for color rendering, which may be important in a bathroom, especially if you are relying on it to put on natural looking makeup. But going too yellow or too blue will also affect the way we see color to some extent. After my mother had cataract surgery many years ago she came in my house and told me how much she liked my living room paint color. It was a pale yellow beige at that time. She said before her surgery the whole room looked like it was way too yellow and brown.

I think you may be stuck with the situation of too many ideas but they just don't connect. Take a big step back. The floor stays. Great. Take the floor to the paint store and start looking at colors. Don't initially look for THE color because that never really works. The rest of the items you have are white - easy neutral to work with. If you like the idea of the gold, I say go for it - just not the gold you are showing - it is the wrong tone and wrong intensity. Just find the right one and get a sample of one or 2 or three! That way you can see what they will look like before you spend the time painting and then you don't like it. The pics you posted did have a richer gold and darker gray, but that was in smaller amounts on a shower curtain. That won't necessarily translate to the walls. Maybe you could put in a chair rail and do a combination of white and the gold, then use the gray for towels and mats. Good luck!