It really wasn't my attention to cause a topic with ranting back and forth.
Please don't do that on my behalf

I am happy I started this topic as, apparently, it is a topic that is interesting enough to have a discussion about.
But I don't really have come a lot closer to a definitive answer, as there seems to be a lack of consensus about the best approach...
I do not know if I can check whether my (or original OEM) battery has a BMS, but given it's relatively new, ánd I come across references of BMS in HP batteries in general, I'm going to assume, for now, perhaps mistakenly so, that (at least an original) battery does have a BMS integrated.
If the BMS performs as designed, which seems a reasonable assumption, I should trust the BMS does the best job in charging the battery.
So what I'm going to do is that I'll keep it on charger if possible, but I will not carry around an extension cord for that purpose

On the other hand, the idea of having a laptop instead of a desktop is also about portability, so I will use the battery of course when I'm not able to charge.
But I will take care that I will not try to let the battery deplete too far, even when the BMS should protect the battery.