According to the Wikipedia entry for chroma key:
Green is currently used as a backdrop more than any other color
because image sensors in digital video cameras are most sensitive to
green, due to the bayer pattern allocating more pixels to the green
channel, mimicking the human eye's increased sensitivity to green
light. Therefore, the green camera channel contains the least
"noise" and can produce the cleanest key/matte/mask. Additionally,
less light is needed to illuminate green, again because of the higher
sensitivity to green in image sensors. Bright green has also become
favored since a blue background may match a subject's eye color or
common items of clothing such as jeans.
So yes, part of it may be because it contrasts better with human skin and other natural tones given blue could end up being a bad choice for anyone with blue eyes, or certain types of clothing being present in the shot. Given it takes less light to illuminate as well, this likely allows green to be used with smaller, cheaper, and thus more portable and budget friendly lighting solutions, perfect for TV show production or even remote filming where carrying bulky lighting setups could add to the time and cost of a film.
However, blue exists because of certain coloring needs. Night shots, either filmed at night or to be keyed as night shots later, work better with a blue screen; conversely, daytime shots work better with green screens. Should any edges around the subject not be fully removed, blue is less noticeable in nighttime shots, where as green is less noticeable in daytime shots.
You also need to be careful with green, as it tends to spill out quite a bit when illuminated. Should your subject be too close to the screen, the light could spill over their edges, which will then be removed in post.
For good measure, and because I like his videos, here's Tom Scott to talk about the process before green and blue screening.