the colour has a strong cast on the 2nd image. too orange. i would prefer the output from the first camera - and adjust from there. (its easier to add a cast then to remove it)
in anycase, it doesn't mean anything. colour depends on your subject and how you wish to capture it. under incandescent lighting, its likely to be a difficult balence between having a strong colour cast and managing a "true" white point.
In the first case, you stay true to reality, but it never looks the same as standing there because you aren't viewing the image surrounded by incandescent lighting. in the second, the image will look fake because mentally you know that the image is in reality orangy.. and it lets you down on expectation.
btw. this is actually one of the reasons why a lot of photographers shoot b/w under incandescent lightning. removes this difficult to manage issue.