@digid Thank you for that very thorough answer :). It's probably the next stage in my "get the Trium up to snuff" masterplan.
@dc42 Thank you for that explanation... was fearing something like that...
I replaced a bunch of stuff:
E3D v6 Hotend (instead of the stock crappy one)
Nozzle Piezo probe (instead of the inductive crappy one)
Now, my bed leveling looks like this:
0_1553883052279_trium-mesh-v3.png
I think I'm pretty happy with that... 🙂