One of the curses of having done lots of colour printing is that I see colour casts even when they are slight.
But cute kids - we can all appreciate them!
I think though that most will prefer a warm colour balance to a cool colour balance when people photographs are involved.
By the way, I wouldn't refer to your original photograph as having a colour problem. It is just dealing with lots of differently coloured light, which required the printer (machine or human) to make some choices.
The film recorded almost everything. The printer emphasized the blue more than the rest.