Edit in RAW not as good as the Jpeg

This is likely due to the AI processing aspect of most phone cameras.

When a phone camera takes a photo its often (Especially on newer models) not as simple as taking a single sensor readout and processing it. They often are buffering frame the entire time the sensor and camera app are open, once you press the image button multiple exposures are taken (Unless you are in a pro mode where you have selected the shutter settings). The powerful processors in mobiles these days are also used to do a form of object & edge detection to do some 'Smart' sharpening around objects the phone thinks are the subject and they often have an option to add artificial bokeh (Defocus of background). Basically, a combination of complex algorithms are used to generate a standard out of Phone jpeg.

If you want to read more about how modern phones process images look up neural processing unit (NPU) Apple & Samsung are big players in this game. Verge Article

Whereas when you take a RAW photo on a mobile you are genuinely taking a single exposure from the sensor. You are limited with the data of that single frame to work with. A comment on why your RAW photo after processing looks different would be what software are you using, I’d imagine you could make these images basically look identical with enough editing especially of the HSL and cures in Lightroom.