I believe that the ‘lovers’ story was just a lie to cover up for why Deep Stroke and Pageboy had so many ‘clandestine meetings’.
Note that after it was ‘publicized’ that they were ‘lovers’ none of the normally associated behavior (like spouses filing for divorce) occurred.
So far, no “sexts” have surfaced. However, as I say, there are some who argue she seduced him because of his strategic position in the FBI hierarchy.