IR is often used for facial recognition (invisible pattern projectors or to better illuminate skin texture). However in colour pictures you get a strong purple cast in some conditions, like bright sunlight, due to excess near infrared radiation. This is not desirable for photography, so most consumer cameras have IR cut filters for this reason. The filter looks like a transparent piece of glass or plastic, but it will shimmer red if you hold it at an angle. Not to be confused with the normal anti reflective coatings on lenses (these often look green/purple).
As the sibling says though, plenty of rear facing cameras are also IR sensitive. I imagine there's some onboard processing to correct the colour balance.
You can't really correct for the chromatic distortion (purple effect) as it is not simply a color correction, the IR light bends differently through the optical elements / lense. (The diffraction coefficient is different for different wavelenghts of light). Thus you have to filter the light out to get rid of the effect.
I suppose it depends on the bandpass of the filter. I have several older phones which can take (rear) images of IR leds - we used this as a sanity check at work several times. Images of normal things didn't look noticeably worse for having that sensitivity.
Many visible optical filters leak in the infrared, so perhaps a small amount gets through, but not enough to cause a noticeable colour cast in normal photography.
Vegetation in sunlight is a good test target, too. Leaves strongly reflect NIR.
