Correct me if I'm wrong but I have the feeling that since the trust system is decentralized, having a red tag is not so important, is that so? Apart from the issue of custom trust lists, which icopress mentions. For example, it appears to me that yahoo62278 has one red tag, but he has 36 in green, and it is not the only case that appears to me of highly trusted member with 1 or 2 red tags. I guess it is not that important.
It really depends on the reason for the red trust as to whether a company would disqualify you for a campaign. If you pissed someone off you're good most likely, but if you stole money or something in that area you're likely fucked unless 1xbit hires you.