I think they are wired to be attracted to Fi. No Fi, no monogamy. Probably if they aren't allowed to go fishing every weekend, no monogamy, either.
What I've seen is LSE's in "bad" marriages (bad from their point of view) getting divorced and then starting a "new" relationship that same month. With a woman they just happen to know. So they were prepared for a smooth transition. Three cases. The other three LSE's I know are not divorced.
LSE's definitely don't like to be single and without that female companionship for any time whatsoever. I'm not sure if that's because they need Fi (probably not the main reason) or because they think that being single in society will make them look bad (more likely).