Not just what device but what settings (e.g. HDR enabled or not). Even post an example so we can see what you mean.
"Washed out" to me implies lack of contrast, and perhaps too light. It's not uncommon for an auto exposure system to over-expose a night shot (it doesn't know it's night), and if a scene is mostly dark those bits won't have much contrast. If you select a particular part of the image to focus on most phones adjust the exposure, weighting it to that region. If yours does this then focussing on a highlight will result in the rest being darker.
I literally do not shoot video, so have little to say there except that it is lower resolution, and part of that comes from adding pixels together (it may also have a narrower field of view than the still image, i.e. be cropped) and that could affect exposure and contrast. And it may be constantly adjusting exposure, may be using a different exposure algorithm.