Hey guys,

thank you very much, very helpful replies as always!

I'm trying to get used to the neck before shaving wood away, but it was definitely a learning experience, as in THEORY, I was aware that different neck shapes exist, but this was the first time I actually really "felt" it. Same with the Telecaster sound. Yep, you read about the "twang" here and there, but you really need to play it to actually understand. After fiddling around on the settings, it started to sound quite nice, totally not what I am used to, but not bad.

Simon, you are right about the setting, but if I set the low e string any deeper, the fret buzz is VERY prominent. In this super high position, it is manageable, but of course I need to do something to fix it. The A string could get lower, but then the "thing" they rest on gets very uneven and the string almost slips down... So these two strings are a bit too high now.
I think the nut slot on my guitar is cut very deep, so I may not find a matching TusQ nut with the right height. That means I'd have to make my own which I find a bit daunting at my current experience level. But on the other hand, you gotta start somewhere, right? Need to wait until I have some money to spare for nut files, had to shell out 500 bucks for my car last week (check up and MOT).