The only time I have problem with red color (did not look for problem with other colors) is due to light itself (sunrise, light of discontinuous spectrum) and/or over- or underexposure. FWIW, I take images in raw format in "Neutral" mode with -1 or -2 of contrast, saturation, sharpness, etc. to be adjusted later.
Here are some (I could not exclude the non-Sony A700 images, so pardon the extraneous images, e.g. the red Chevrolet or the white Studebaker):
in particular ...
- some blossoms of "red cockspur coral" are overexposed in light of the rising Sun, http://www.flickr.com/photos/bitteralmonds/3255835012/;
- tiny bit overexposed red top is the one with female athlete with brace on the left leg, http://www.flickr.com/photos/bitteralmonds/4957507669/;
- red foam appears red-orange due to the fluorescent light, http://www.flickr.com/photos/bitteralmonds/3163037084/
... and, color red seems ok to me of ...
- Kia Soul: http://www.flickr.com/photos/bitteralmonds/5320529956/;
- cherry: http://www.flickr.com/photos/bitteralmonds/4614600441/;
- clothing: http://www.flickr.com/photos/bitteralmonds/4553467029/.