Sry, I did not subscribe to this topic.
My solution was to define exclude roles at “daten-optimierung”. (the chapter between Cache and Media) It worked.
CSS exclude
/wp-content/dsgvo-all-in-one-wp-pro/(.*).css
JS exclude:
/wp-content/plugins/dsgvo-all-in-one-for-wp-pro/assets/js/(.*).js
Some other problems I consider to be caused by low memory at the backend. When I moved the installation to another host all troubles were gone.