First you must get a properly neutral light, but then you're going beyond the reasonable (crazy, right?) if you have neutral paint?
I'd suggest that if you don't do both, you may as well save yourself the money and do neither. After all, now neutral is that 6500K light going to look after reflecting off the slightly yellow wall behind the television? You may as well use an incandescent light and not pretend that the colour temperature matters to you.