Both PNG and Webp exist in lossless formats which can be easily rotated without loss of quality. Jpeg is different, because its internal structure consists of 8x8 blocks (which, BTW, can be rotated lossless if both sides of the image are multiples of 8, iirc.

For photos all these assumptions are rather theoretical IMO, because modern cameras create images in sizes which almost always have to be reduced in size for viewing, unless one wants to pixel-peep.