I think one of the ways L&P could bump Sophia into taking a more active role with other hetero and lesbian partners is using the swinger event as a catalyst.
Liam is usually too tired to have sex (or he has work or fishing trips or sports that are more important/come first).
I think that the way Liam behaves at the swinger event could be one of the decision points for Sophia, in terms of how active/aggressive she decides to act in the aftermath of this event.
If Sophia is tentative with Andy (or Andy is nervous and he and Sophia do a lot of gentle cuddling/light foreplay before the main event that ends too quickly for Andy), while Liam takes Cathy to pound town and really dominates her, Sophia is going to notice how much more enthusiastic Liam is with Cathy versus his wife.
I believe that all the GW sex has been one Liam orgasm then he is done. I don't recall Sophia ever getting multiple orgasms from a GW encounter.
Let's start with an enthusiastic Cathy who give Liam oral and swallows, before Liam returns the oral favor and fingering, giving Cathy multiple orgasms, followed by some very aggressive fucking in multiple positions where Cathy and Liam are driving each other on with dirty talk before Cathy insists that Liam finish inside her and Liam very aggressively gives her what she asks for.
Liam already had the chance to peek at Cathy while she tried on several wedding dresses. Cathy even insisted that Liam stay during the entire fitting, over the objections of her sister Olivia and Liam's uncertainty about staying.
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If L&P was to put in a one-week time skip here, he could add in narrative showing how things have not gotten better between Liam and Sophia, for ex.:
How busy Liam has been since the weekend when Sophia and Liam got together with Andy and Cathy that he has not made any intimate time for Sophia.
Sophia has tried to talk to Liam about putting some spice into their sex lives and he is too tired/too busy to talk with her/hear her.
Liam has to take a trip with the boss and several of his daughters to see a fashion show in another country at the end of the week with no intimacy, so Sophia has no sign of renewed intimate time with her husband for the upcoming week.
This would all help to build up some internal pressure on Sophia to pay attention and reward those people who show an interest in her, particularly Ellie/Dylan/Sam/Patricia/Nathalie.
I think that the positive responses she received from those partners would, internally, make her feel justified to share/continue to share more than she would have a month ago, after all - it's not like Liam can be bothered ...