I'm glad you mentioned this.
What I always recommend is that your shop view photo be one that stands out in Etsy search results so when it appears on a page with 50 other images, it will be the one that grabs people's attention. So for the shop view photo, a stylized photo is fine.
However, I recommend having at least one secondary photo be on a white background so that when bloggers and editors go surfing for products to mention in articles, such as in the case of my customer, Design by Gam that got included in that People magazine article I referenced, a photo with a white background means they can easily place it into their editorial.
Trust me, they will not take the time to contact you to see if you can supply them with this type of photo. If they don't see it, they will just move on.