Hello, all my chargers from other Sonicare models work (except the glass)

Probably already. I charge these toothbrushes with the charger for HX9160. This is also one with a pin to charge the toothbrush.

For me, the old chargers work with the new Series 3100

Hello
I would answer your question in the negative. Because my old chargers don't have a pin that holds the toothbrush when charging. Instead, they are either like the glass charger or a round plastic part that only has a recess where you place the toothbrush and then it charges.
I don't know any other chargers. That's why I was shocked when I ordered these 2 toothbrushes and didn't realise that they had a completely different charger. We had to keep them because they cannot be returned. I hope you understand what I'm writing ;-) Lg

Yes, that's not a problem. I do the same