I'm not so sure there is going to be an image quality difference: even if you do provide the different versions of the graphic, they're likely just downscales of the original anyway. I'm willing to bet the difference between doing it at run-time and design-time is not going to be significant enough for a user to notice on a mobile phone screen.
I'm also not sure about a performance difference - however, even you admit that there is likely to be a non-zero negative impact. Given that fact, I think it's worth asking "Why not provide pre-scaled graphics?" There are tools (like the Android Asset Studio Icon Generator) that bring the level of effort required to make that happen almost to 0.
In mobile, any deal where you trade nearly 0 work for any potential performance enhancement is a deal you should take.