Kind of had the opposite problem with things sticking too well to my bed !

This CHEP test print is quiet useful in testing out how level your bed is, but the trick as he shows in some of his Ytubes, is to follow the head and lightly rub the filament with your fingertips to see of its stays on the bed. If not adjusting the Z Offset by one and trying again.
https://www.thingiverse.com/thing:3235018You could try adding a Raft or Brim in Cura to offer extra area/ hold until you have got things properly sorted.
Also added a BLtouch the other week, a clone one, and the few prints we have done were fine, PLA,PLA+.
Seem to remember seeing some pictures showing they use an ATmega chip so know they can run down at 3v3 for non high speed work.
Had to print a cover to hide our little blue led, just annoyingly bright when on the desktop.
This young lady does an excellent video on those BL sensors and how you can test and calculate the accuracy of yours.
Our clone was worse than hers but our friend had nearly the same as hers,
Don't know anything about your E 6 firmware but our E 3 with the Jyers allows us to view the beds level, we initially did 5x5 but settled for 3x3
