Oblt. Paris of III./JG 6 vs. Typhoons on 25 Dec 1944

[Lagarto]

Danny Parker in his book "To Win the Winter Sky" includes the following info under 25 December 1944: "The Gruppe [III./JG 6] ran into the Typhoons of 193 Sqn near Quackenbrück. The British claimed one downed German fighter which was almost certainly the mount of Oblt. Paris of the Gruppenstab. Paris was seriously wounded and died a few weeks later".
At the Kracker Luftwaffe Archive I found the following details:
Oblt. Helmut Paris, Stab III./JG 6, Fw 190A-8 Werk # 980545. Seriously wounded 25 December, 1944; aerial combat with Typhoons of No.193 Sq. at Quackenbrück; DOW 9 February, 1945 (JG-6 List & LOCS).

So far so good, but I have some doubts. First of all, wasn't III./JG 6 equipped with Bf 109s? Why then was he flying a Fw 190?
Secondly, F/O W.M.J. Bulleid of 193 Sqn did claim a Fw 190 on that date, but near Coesfeld (nearly 100 km away from Quackenbrück). This is the area where 266 Sqn (that 193 Sqn was covering) got 'bounced', losing two pilots.
I'd appreciate any input.