In the opinion of the B's, yes, but whether others would agree is a diff matter. And TP's premise was not purely selfless...
"...some particularly intrigue-desirous Bonisagus magi, working in concert, might be able to tactically denude a rival covenant of apprentices."
So, in a very tangible sense, they are conducting their own Wiz's War against this Covenant, only using the Oath as a shield to do so.
Respect for that, your effort alone should make the saga most enjoyable.
So... in politics, when a small, helpless body is being bullied by a larger, more powerful body, and there is no justice, what are the options? The sad alternative is... terrorism. Or at least "unconventional warfare", in some form or another.
Do they have a town/specialists they are in charge of, and/or rely on? Start whittling away at that, and see how they do when their mundane support is gone.
You say these clowns are popular? They have allies, formal or no? Not if everywhere they go they bring mayhem in the form of a feud. Use the above tactic on others townsfolk whenever these Boni's come to visit. Use propoganda to undermine their reputation. They will not be popular for long, and we are talking a 7-year strategy here, two actually.
And all the while, maintain an outward, public face of calm and appeasement, never show anger to the Order.
The apprentices are all being claimed? Overload them - the victimized covenant develops a plan to start claiming sub-standard apprentices and keeping their lack-of-talent secret - and the more, the merrier. Somewhere in there, perhaps, a real apprentice is hidden, but the Boni's end up with more than they want, and they are bound, by their Oath, to train them all.
Meanwhile, this is led with an old-fashioned propaganda campaign among the academic community, that any mundane who helps these magi will meet a horrible end - maybe even true. The Boni's find it harder and harder to meet their obligations, and NO one, especially not "intrigue-desirous" magi, are so popular that they do not have some jealous rival, someone whose toes have been stepped on.
And/or, use Mao's famous wisdom - "When the enemy advances, we retreat; the enemy camps, we harass; the enemy tires, we attack; the enemy retreats, we pursue."
Find out what interests they have. Create diversions that will isolate one for a season and announce a Wizards War against only one of them at a time, hopefully when they are away from the others and "home". Constant WW's will wear them down, and if they can actually pick one off, legally, the others may seek a compromise.
If a 3rd party, such as a Flambeau, does the deed and claims the loot, their options at retaliation are more limited.
Find a Boni' with an apprentice, one outside this clique, and bring them in to the covenant. I may be wrong, but I don't believe B's can claim from each other, that's not how the Oath is read.
Or, just hire the Flambeau - that works too.