Or would the JJC for Sony be better? This one is actually the only one so far that I looked at that mentiones my Sony alpha ILCE6500, soooo this should not be rocketscience but the texts on Amazon are often wrong or incomplete.

Even if you use the Sony JPEG camera preset in Lightroom, it's just Adobe's attempt at simulating the default in-camera JPEG processing. The final JPEG will look different to the one your camera produced when shooting RAW+JPEG. As @Cameratose said: there is no 'look' to RAW files. It's just raw data that is represented as an image by your raw editor. What you see when opening the RAW file is just a bare starting point from where you should start your own post-processing.

Update! can anybody confirm from experience that this  "Pixel TW-283 S2, 2,4 GHz" will work?