I don’t believe there is any overlap between the DSS and the NT. The early DSS were written well before the 1st century so it’s not possible for those to cast any doubt on the NT.
Oops - you are correct. Well, change Jesus to some O.T. guy, but it was amazing to see the bias in the headline when a verse as one word that is slightly different but means the same thing becomes “Proves the Bible is full of errors...”