As someone who migrated to Germany from Turkey, people like me (and everything we are involved in) are "German" when we do something they're[0] not proud of, we are "Turkish" if we ever come close to success, and "of Turkish descent" in the normal times. Of course it depends who you are asking :) It's a bit annoying to be honest but not a huge deal.
I didn't mean to make any judgment about the "Turkishness" or "Germanness" of Drs. Şahin and Türeci. I just mean to clarify that BioNTech was founded and is based in Germany, just as Google is an American company (not Russian-American) even though Sergey Brin was born in Moscow.
I have read it‘s a bigger problem and a source for islamism, especially for the 2nd or 3rd generation of descendents of immigrants: When Germans still see you as Turkish, but Turks see you as German, it makes sense to a) be angry and b) search for some other identity.
I suppose all immigrants have similar problems.
[0]: I mean people living in Turkey