Sony must be keeping Sony Crime Channel so? Wonder why they don't give it the same brand as the other channels?
Not necessarily, and even if it does rebrand, that doesn't mean they won't be closing it. Tru TV was rebranded to True Crime, and was closed down less than 5 months later. Perhaps they want to avoid a repeat of an expensive rebrand for a channel which will have the same fate.
They have closed the Facebook page and website for Sony Crime Channel, which also happened to Tru TV, so it isn't looking good for Sony Crime Channel, which was also recently removed from Freeview and Freesat.
I don't think the launch of Sky Crime is any coincidence, and I reckon Sky were pre-empting the potential closure of Sony Crime Channel when they decided to launch it, and the closure of True Crime was probably a factor as well.