DPP automatically applies the in camera jpeg settings (picture style) to a raw file, so it looks the same as a jpeg produced by the camera. Only the OEM software may be able to interpret everything 100%.

However, Adobe products use ACR (Adobe camera raw) for raw files, and it has the ability to apply profiles (default edits) based upon the picture style selected in the camera, or as desired. There are camera matching profiles for both the R6 and the RP. And these profiles can be applied automatically on import/opening.

However, these are Adobe's interpretation of the default picture styles; they are almost certainly not 100% the same. And any changes made to the picture style in camera will not be applied (for Canon CR3 files); whereas DPP would apply them. Also, not all picture styles are duplicated as Adobe camera profiles (e.g. fine detail and auto are not available).

This shows a Canon RP image and the profiles available for that camera (in Lightroom). You can see that it is quite vibrant by default... too much so for my taste. Camera landscape seems to be the most saturated/vibrant, and camera neutral the least; standard is what was set in camera.

You could also get the same/similar results in RawTherapee manually. And IMO it is worth learning to edit the images manually to get the look you want, regardless of what software is in use.