Hi Jerome, perfect, that was the issue. I have now added ajax to the List of allowed tmpl= keywords in Admintools and all seems to work really nice mow, including the emptying of the cart.
Just one thing that users might miss: I am working on a pretty wide screen now and the notifications in the upper-right corner coulkd easily be missed. Especially showing errormessages should really be more obvious I think. See attached the screenprint of an action where the user needs to select a size for the product. I really think users could miss this:
I checked the configuration for options to configure how errormessages are displayed, but I could not find any.