Hi,
so, the initial creation of this default assignment with the name (not display name!) securitycenterbuiltin "seems" to be happening on Tenant level, so out of the control of our single Subscription. Probably managed / configured somewhere - as said, out of our control. And since this String is found in many places in the internet, I doubt it is something, our internal teams is doing...
Anyway, you can still delete it directly from within the portal for a certain subscription. And after that, it does not get recreated anymore automatically... So we were using the "Assign Policy" button within the portal (see my screenshot from the initial post) allows to pass in the display name attribute only, but not the name attribute...
As said, it would be really helpful to get this consistently created as we are normally not using the Azure portal for creating resouces, but IaC approaches like Terraform.