I've heard it said by staff that searching naturals would be impossible though. xD As we have it, natural is actually the absence of color. If they try labeling it with a color, it doesn't work right - that's why naturals never came up when we did have the option.
It's also why naturals on profiles always just have a blank in their 'color' detail. If they were labeled as natural, their images would disappear, like with every natural pet out there in a Ranch. If you look at the Ranch pets' details, they always have broken images if they're natural. And that's simply because 'natural' was put into their details on the right.
Not sure about the 'search by' thing.. but personally, I'd definitely find it useful. One less menu to mess with.
Maybe there could be personal default settings on the search page? Then every time you go there, the menus would all be set to what you normally do, and you'd just have to change one or two things.. P: