Theory: If you are on the "MC Fucks Jade" path, then Stephen Burke will use the video evidence of the affair to blackmail Isabella into sleeping with him, in exchange for not expelling MC.
I actually think he would be grateful to MC for this. I think if ever he would use this more against Jade than anyone else. Haven't played in a while but didn't Jade mention when you do her at her home that they didn't sign a prenup? On one hand, he has a means to call out Jade's hypocrisy (whilst conveniently ignoring that her deciding on having an affair was a result of his infidelity) on the other hand he can use this to ruin Jade's reputation and it's such a good piece of ammunition. Should the day come that Jade would want to divorce he can use the video to threaten her to either not go through with it or at least not to take half his shit, especially since we can assume him thinking that Jade does not have hard evidence against him.
With this in mind, it would also be something best kept to himself. Tell one person, that person could tell another, and another. If anyone else is the one to expose Jade, there is nothing stopping Jade from divorcing and getting a big payout for herself.