I also like the wood vs the white background. The label is much easier to read and the warmth of the wood is more soothing to the eyes than the stark white background.
The link to your shop doesn't work for me so I searched the name of one of your soaps from the images to find it, and honestly, I feel that the wood background would look better in the search results when compared to the other images around it. The white background doesn't stand out and even when I was looking for the listing I managed to look over it twice.
If you were doing whole sale than yes, a white background would be preferable to make them uniform to companies, but etsy is all about NOT being uniform and a majority of soap customers that I know would be turned off by a "stock photo".
If you decide to go with the white, I would try to make the labels a little less fuzzy, maybe by placing the bars differently and focusing more on the label. Fuzzy words are very distracting to me personally, and when I see pictures with them, that's ALL I see and you want people admiring the soaps not squinting at the packaging.
Just my two cents. I don't sell soaps, so take this with a grain of salt.