Well, I think a central part of being a cuckold is relinquishing all expectations of controlling your wife's sex life. Therefore, in some ways the cuckold has no say in the matter of aspects of her relationship with her lover/lovers. Ideally she and only she decides if her sex is exposed to her lover's cum. I think that most cuckolds are supremely turned on at the thought that their wife offers her sex bare back to her lover/lovers - even to the point of being titillated at the chance that she falls pregnant to her lover, while maybe hoping that she is careful about her birth control in real life terms.
But titillated or not, being a cuckold is to surrender all expectations of influencing your wife's sexual relations with her lovers. The decision to offer her sex open and unprotected is for her, in her new relationship.