Hello Nokose,
please note that I./JG 51 was equipped with Bf 109G-6s at the period you are talking about. The only part of JG 51 flying on Fw 190s in June 1944 was Stabsstaffel/JG 51, but according to Flugzeugbestand und Bewegungsmeldungen they have not lost a single aircraft to enemy activity during the whole month of June (only 5 Fw 190A-6s "ohne Feindeinwirkung").
http://www.ww2.dk/oob/bestand/jagd/bstjg51.html
Hope this helps,
Ota