With regard to the sotah, we know from the gemara that if she has not committed the sin she gets a bracha and she returns to her husband....
What kind of relationship are we trying to recreate? A husband has strong suspicion about his wife, eidim came along saying that she was secluded, and now we are trying to recreate the bond. This seems difficult in the context of trust and ahava ve'ahva - the major pillars of Jewish relationships.
A normal husband would have strong feelings about the event, and a normal wife would be angry that she was wrongly accused and taken this degrading road.