Color contrast filters only create contrast if the shadows and the highlights have a different color, as they do in daytime where the shade is bluer than the sunlight, so redder filters cancel blue relative to red, increasing the contrast difference between the shadows and highlights - the contrast also looks higher because faces have red in them, skies have blue in them, so faces get lighter with a red filter and skies get darker.
But if you had an interior scene lit with white light and everyone was wearing one color, let's say, tan, then color contrast filters are not going to change the overall contrast because they don't have color wavelengths to affect differently.
Second, if you are shooting under tungsten light, it's like shooting everything outdoors with a pale orange filter on.
It is much easier to control contrast with lighting, using color contrast filters are a waste of time unless you feel the need to get skin tones to render lighter in general and feel something like a yellow filter helps (but again, remember that under tungsten light, it's already like you've put a light orange filter on the camera) but again, you can always just light faces brighter than the surroundings if you want them lighter. But I suppose in a day interior with a lot of overall skylight, you can use color contrast filters to get the skin tones to render lighter than the surroundings.
It's not so much that these filters affect contrast, what they do is change the amount of light that passes through for each color. So if the subject is entirely made up of grey tones under white light, a color contrast filter isn't going to do anything. But if Superman was in the shot wearing blue and red, then a red filter is going to make the blue areas darker and the red areas lighter.
So if you want to light with warm light and fill with blue light and then use a redder filter to make the blue shadows go darker relative to the highlights, you can... but what's the point? You could just use less fill light and save the overall filter exposure loss.