Thank you for the hint to Capture One. The work flow you describe sounds very efficient. In the mean time this Sony version has increased in price to now 79€+VAT. I'm a bit worried that they just try to meet some sales goals and will inrease the price further and further.
For my cameras I had a look what options are available:
Nikon 1J5: Android app, just live view and release button and image brightness, nothing else, very pathetic!
It doesn't allow series shooting, just single images - very cleverly made for a high speed camera
Sony a6000:
- Android app, live view, release button and many controls availabe, but no series shooting again
- Capture One Pro offers camera control but no live view image for this camera model
Since I don't have much space for a tablet/notebook on my desk anyway I will probably not use the tethering options.
For the 1J5 I would have to build a mechanic cable release like used decades ago

. Nikon could have had a lot of future in the mirrorless market if they only had avoided crippling their One series cameras. With the 1J5 they got nearly everything right, nice BSI Sony sensor, articulated display, good control layout and grip, and then they leave the IR-port out. Hard to believe!
I payed just 265€ for it with standard zoom, so I for shure won't complain. It is a really nice second camera, that allows insight into fast processes and fits in a small bag.