What intent is used by the camera when converting from RAW to JPEG and applying an output colour profile?

My camera does not have any settings for controlling how the sensor data ends up in the JPEG. The data is coming from the Bayer filter, which are then fed through the debayer algorithm and then applied the sensor colour profile (input profile). The resulting image data in the input colour space then needs to be converted to the output colour space, and the resulting JPEG needs to be given the corresponding output colour profile. So if the output profile is e.g. sRGB, how does the camera go about converting the colour space?

There are bound to be some colours out-of-gamut when using sRGB, so some colour shifting or mapping is required to make everything fall into the sRGB colour space. In software programmes I can for example select relative or perceptual conversion intent, which are different ways to treat the out of gamut colours.

I may have found some hint as to what’s happening: when soft-proofing an sRGB out-of-camera JPEG to an sRGB target it still shows that there are colours out of gamut (which you can detect using e.g. Lightroom or Rawtherapee). So maybe the camera just slaps on an sRGB profile and leaves it at that? Performing no treatment for colours that are out of gamut? Otherwise, why are there colours out of gamut? Or is that just a common thing after out of gamut conversions?