Hopefully your objection will be accepted!
Just a little outlook across the border: Austria is "ahead" of Germany ( ) and has already implemented both ELGA (Elektronische Gesundheitsakte) and E-Impfpass (E-Vax passport, yup a passport) connected to each other. To both you cannot object anymore. All of this must be accessed with ID Austria, the overall umbrella for everything legal in this green, green country.
What a sorry state of affairs in Austria too.