I have bad news then.
Royalty or not, there's no fetching young princess-in-waiting who's going to want to marry a guy named 'Lester'. It's just a rule, look it up. :D
Lester had problems with his marital and noble duties. But yeah, the TRO has something about a cousin or such distant line taking over and being more friendly to the neo-FWL.
Sadly I think part of the problem is the fictional writers for BTU are not from a political system that gets dynastic politics in which popping out & controlling heirs is a BIG deal. I am not, and I know even though I have studied history that its not as important to me a child of a republican system of government. Most of the Houses and to the extent we know them lesser nobility in the Houses, have failed in their biggest responsibility in ruling- stability in the form of a heir and a spare. Jessica and Vincent Kurita were the only major players who met those conditions . . . and once his son died, Vinny made the big mistake of keeping everyone together so when a dropship wobbled, bye bye. Even then, they were not successful in that primary function- Jessica and Vincent SHOULD have been grandparents, see my Melissa comments.
Harrison Hasek-Sandoval-Steiner-Davion? Not only was his ONLY heir a dud, he did not clearly lay out the succession- which was ALSO a big deal in royal politics. Henry the VIII sent quite a few people to meet the headsman over the years as his heirs changed simply b/c they did not endorse his succession plan as much as he would have liked. And that is a single long lived ruler plucked out of hundreds of years of history.
Melissa Steiner? No known consort, no known children, did not even seem to think of her successor . . . had cousins, and apparently watched them more closely than is generally acknowledged (comments to Trillian). She sort of gives off a Elizabeth vibe in this aspect of her rule- no bodily heir or seeming desire/plan for it. If she planned all along to pass the Archon-ship back to the Steiner-Davion line . . . she should have been marrying off Trillian- heck even Roderick! You do not leave people in such close proximity to the throne single! You marry them off to strength internal alliances as well as to block them from being pawns for other people's moves- like Vedet! What of instead of being so vocal he had sought to court Trillian, using THAT path to the Archon's throne?
Dao-shen . . . well, I do not want to even get into that mega-can of worms.