The silent imperium doesn't have fleets, they work in small strike teams of space craft that can go quite the distance.  I could see proxy activity being a reoccurring motif under the pretense of 'keeping follow sapient vigil on the Dominion's machinations'  In practice the Ouroburos just get a new reality TV Show since the Dominion has a lot of infighting just like your kind does and that may come off as entertaining to your kind or not, I don't know.  I may need a better understanding of their political situation to think how exactly they'd conduct themselves with the Ouroboros.  Chances are they'd see you as a potential victim of Dominion activity and work out a defensive pact in secret.