I find it ironic that a cheater would find exposure to be humiliating.
Humiliating the cheater, or better yet, the third party OP is part of the objective of Exposure. I don't understand why this is ironic. It's the point of the exercise.
Affairs THRIVE on secrets, lies to spouses, to supervisors, to friends, family, colleages at work... An affair needs to be secret to survive long term... Its a big part of the fantasy... people get very excited when they hear secrets... it is part of the charge from the addiction
But, if both the WS and the AS share their workplace, you are doing considerable damage to the WS as well, so in such case I woudl reccomend to NOT expose.
In the case if word getting out through an alternate route, at that point I would ensrue everyone in the know at work was properly informed.. offce gossip has a nasty habit of NOT being particulary accurate.