I do not have enough experience with the trust system here but it is not good to allow members with negative trust (especially those with 2 or above) to participate in these campaigns. I understand the one negative trust might be possible due to some misunderstanding or revenge being taken but if someone has multiple negative trusts, the profile is suspicious. Only a campaign manager can tell the exact reason for such members being allowed to participate. One reason I can think of is that they are not getting enough participants with neutral trust because of multiple campaigns running.
You seriously need to learn and read more about the trust system before making a comment like this.
Members with negative trust from DefaultTrust will show up in case your trust list in unedited from the time you signed up on the forum. Any other member whom you add to this trust list - their trust rating will show up in "Trusted Feedback" as well. What we are talking about here are the trust ratings from DT1 and DT2 (mainly).
All other BS retaliatory feedbacks are generally not for DT and hence ignored. There is nothing wrong in ignoring those feedbacks from Neutral Trust members or those whom the manager does not have in his/her trust list. But ignoring DT trust ratings (except a few DT members) is not acceptable for the manager.