I haven't grown them, but I just googled "rainbow treasure strawberry" and there is a bunch of pictures of strawberry plants with white and rosy flowers, and many, many berries. I would doubt that one plant would have both colors of flowers on it, though. Where did you see these plants?
If it is a marketing thing at one of the big box stores or in a seed catalog, I imagine it's probably a collection of plants with both colors of flowers, and maybe even some of the white fleshed strawberries too. Or it could be a seed packet with a mix of seeds. Sounds like fun! I got "Kaleidoscope" carrots this year, a seed packet with red, purple, yellow and white carrots in it as well as orange.
Welcome to ATP,
We love curious questions like this.