The problem with fluorescent lighting, even the KINO ones, is that they are discharge lights.
Their colour comes from the mix of gasses in the tubes that makes up the light that they emit.
They don't even or equally emit colour in all parts of the spectrum.
Even filtering or gelling a fluro means you're "balancing" the colour but if the light is weak in the part of the spectrum you want or need, then gelling it won't "add" that colour in....
It's the same with LED's. They also generally have a very low CRI. This means the light emitted is very "peaky" and if the light you're using to light a colour doesn't have that colour in it, then there's no light to reflect to the camera.
http://en.wikipedia.org/wiki/Color_rendering_indexYou generally want a light to be better than 95 CRI. Most office fluros struggle to get to 80.
It depends a lot on the scale of what you're doing but these days, it's not unusual to have a mix of colour. So you light up your foreground subject and then let the background go. It might go a bit green i the BG, but you've lit your foreground with higher CRI lights and your subject is what's important. If there's a bit of daylight around, I'll sometimes just turn the fluro's off and let it go moody, again, lighting up my forground.
Other solutions are also epic in scale because most don't have the resources to change or gel all the light's in an office.
jb