My point is it is a relatively slow lens at f/4.0, you are as well served by a 2.8 or even better a faster prime on a crop body if low light work is important.
One of the most useless upgrades I see if people with a crop camera, a 17-5xmm f/2.8 lens and upgrade to a FF camera and use an f/4.0 lens completely removing any advantage you would have got getting a bigger sensor.
The OP has complained of noise at high ISOs. If noise in low light is an issue with your crop camera then moving to FF and buying a 24-105mm f/4.0 is the last thing you should do.
My comment was nothing to do with the IQ and optics of the Canon 24-105, which are OK but massively over-hyped (soft away from the center, absolutely massive distortion, mediocre rendition). The lens is popular because of price and convenience alone.