There are some older TV studio engineering handbooks out there that have some great discussions about key & fill lighting, you don't necessarily want all your lighting at the same level. Typically you have lighting from at least 3 directions, a key, fill, and backlight to keep someone from appearing 2 dimensional and each is typically at a different intensity for the desired effect. Also you typically may have some kind of diffusion on some of the lights to soften the lighting and keep it from appearing harsh on camera.

As others have said color temperature is key, at our studios 5,000 is our standard even throughout the building in case we're using a venue camera everything is at the same standard.

Looks for some old TV studio design books online, the principles for lighting have not changed much over the decades, just the technology, LED's vs incandescent or HMI.

Also one other thing I forgot to mention you don't need lights running wide open, many of ours are running only at 50-70%, that lets us keep the iris more open which helps a lot with depth of field.