When you set your camera to record only JPG files you are still shooting RAW images. It's just that you are trusting the camera to understand what options you want for the scene.
Todays cameras can record much, much more tonal information than a JPG can hold, so the camera makes some assumptions based on the way the camera is set up.
The biggest problems occur during the best part of a day. If you accept standard processing for "Golden Hour" pictures, the white balance and color balance may be way off your intentions and wishes. Perhaps your camera has a mode to help compensate, like forcing the camera to shoot daylight or tungsten WB, and that can be fine, but it can also be far, far off for your intention.
Shooting RAW means that you get to defer the WB decisions until the post-processing session, with no loss whatsoever in color tonal options because of "baked in" WB which occurs during JPG in-camera processing.
Similarly, indoor shooting can mean working with mixed lighting. There is no usable automation will will properly correct for that situation. If you want to achieve a proper final product you will need to take the reins yourself.
I dated a woman for 4 years who had neutral painted walls and ceiling, but every piece of furniture, every rug and every accent piece was red. Correcting for the majority of the light sources still couldn't correct for the shadows, largely filled from reflected light off the furniture and rugs, etc.
In that situation I developed a method for processing with separate workflows for highlight and midtones, versus shadows. After getting the two image results, I could merge the images according to relative brightness, and achieve pretty desirable end results. I developed some automation which allowed pretty quick processing, and I developed keyboard shortcuts to allow further speedup, so there wasn't too much additional time added to the whole project (family pictures during the major holidays, for instance).
A couple of churches in the area have similar issues, and require a similar regimen to correct.
Shooting outdoors in daylight in a garden environment can yield green-tinted shadows, which can be treated in a similar fashion.
Many people just accept the automated results, either from the camera or even from their RAW software, but I know better, so I do better.
Ultimately, I found a Photoshop plugin to help with the situation: Pictocolor iCorrect Portrait allows you to rapidly color correct white balance, black balance, skin tone balance (including skin tones in shadow areas) and other "memory colors", which you define and save in separate profiles, as you wish. It sometimes fails to work properly, but it's easy to revert back to a previous version and resample different regions.
Disclaimer: I am just a happy user of PicPictocolor and I paid full price for the product. Period!