Hello Kukynas,
I was just trying to see if it was possible. Mostly just do to the reliability of end stops over a bed probe. After some research and a lot of trouble shooting I came to the conclusion that my bltouch clone was faulty. I then added a Proximity sensor (SN04-N) and used (safe_z_home) for homing. As for the unwanted tilt in the bed, you are right (Z_Tilt) is the answer.