Hello!
Okay, here's a progress report, and it's a good one:
I haven't been able to find the described venting hose with the rubber bell, even after a long search.
So, therefore, I removed the seats earlier today, and also the handbrake lever, and folded down the floor mat, so that I could access the cap in the floor pan, which is located above the fuel gauge.
According to the image that

showed me, the tank-mounted vent valve is located a few centimeters to the left and next to it.
I could feel this through the open lid, and the vent funnel was therefore directly in the fitting on the tank.
Meaningfully, also with the opening facing forward, so that all the road dirt can be nicely sucked in.
The hose, which is normally intended for that purpose, has apparently been misused as a fuel line for a retrofitted auxiliary heater.
They put it together using a T-piece.
Okay, so, the hose is attached to the vent, and I'm blowing into it.
Just managed to get through with thick cheeks. Produced the typical valve squeak.
Open the fuel tank cap, fill the hose with brake cleaner, let it sit for a while, then blow it out, repeat the same process with compressed air a couple of times.
Okay, it looks good now.
One can almost blow into the tank without any resistance.
But sucking it out doesn't work.
I will test it again tomorrow, and rinse it a few more times.
but I think the problem has been found and fixed.
Maybe I'll also attach an original-style vent hose, if I can manage to get one through.