I worked at company like stripe and exactly at the scope of authentication/liability. I am not sure about whatever you pay the charge back fee even though the liability is shifted from you to the issuer bank. Do you have 3DS2 enabled for your payments?

It is normal that Stripe mention the charge back fees as there are exceptions for strong authentication but it is worth asking them for details and whatever you pay the fee even when liability have been shifted. And maybe the issuer bank will just do refund and take the loss if it see the SCA have been done.

In Europe at least if strong authentication was done during the purchase (and it is mandatory since a few years), the merchant is protected and the bank issued the card will take the loss. They don’t need to refund or pay fees for charge back.

Connect works well for me.