I have been studying Snipes in service with 4AFC and can answer your question as far as they are concerned.
4AFC equipped with Snipes in early Oct 1918 and first took them into action on 8 Oct 1918. Their last action was 4 Nov 1918.
In this period this squadron claimed 37 victories of which 35 were against D.VIIs. These 35 claims were broken down into 20 Destroyed and 15 OOC.
About 30 of these claims were in a 3-4 day period from 26 Oct to 30 Oct.
In the same period they lost 7 in aerial combat (1 to AA and 6 to German a/c, almost certainly D.VIIs).
Their worst day was 4 Nov 1918 when they lost 5 in two patrols. The second patrol was a disaster as they lost 2 aces (Capt T C R Baker and Lt. A J Palliser) and one well liked and experienced pilot (Symons). Two of these and 1 in the previous patrol were claimed by
Karl Bolle of Jasta Boelke.
When flown by aggresive and experienced pilots (like those of 4AFC) the Snipe certainly seemed to be a match for the D.VII. I guess there was an element of surprise when the Snipe first hit the front so if the Germans tried to fight a Snipe like a Camel they would have got a shock (the Snipe climbed a lot quicker than a Camel) so the Aussies scored well at first. Whether the losses of 4 Nov 1918 indicate the Germans (and particularly Karle Bolle) had started to get the measure of the Snipe can only be conjecture.
I do recall reading an article that the D.VII overall was a better a/c but I guess we will never know for sure.
As for 43RAF (the only other unit to take the Snipe into action) I do not know their story. I think they had some success but nothing like that of 4AFC.