if you want to get colors from neutral tone background by gel-ing the background lights, it is better to use gray or black color background to start with,
if using white color background instead, you can only get pastel tone colors, will not be solid colors.
to make white color b/g into jet black, you need to place your white background far far far far far far away from your subject and shield the key light falls on the background, I don't think any home studio have that kind of luxury of space, unless you are shooting small figurines and not placing it on the background itself.
chroma key background is for you to shoot your subject with the ideal of replacing background in the post, it is not design to use it as a background on it own.