Mirror the settings of Sony's JPEG generation on the RAW (*.arw) file opened in Lightroom?

Sometimes, I’m perfectly happy with the JPG generated by my Sony Alpha 6100, but want to rotate the image a bit in Lightroom. To not cause increased loss due to recompression, I would naturally prefer to apply the rotation on the RAW (*.arw) file. However, that would mean I now need to carefully re-construct the color balance, tone curves etc. to match the JPG, an issue that’s also touched in this question.

Is there a way for Lightroom (or another app) to automatically glean the settings which Sony applied and use them as basis? Sort of the color equivalent of the Lightroom lens correction feature, which seems to take its info from such things as camera model, aperture etc., for great results. Thanks!