But then Aegon the Elder, whose dad is the King, would have a far better claim than Rhaenys, whose GRANDDAD was king and who has no living sons or grandsons what could trace a male to the Targaryens. Only if she jumps her own kids (and granddaughters) to Rhaenyra and Daemon's boys does another male lineage to the throne materialize.
Ultimately this crap tends to boil down to who can do the job the best and get the most support. In this Aegon the Elder is FAR better positioned as he A. controls Kings Landing and most of the trappings of royalty, B. has the small council on his side, and C. is the first MALE heir to the King and already has an heir (or two, depending on Maelor existing in the show).
Rhaenyra, had she done a better job of masking her kids and/or married someone else OTHER than Laenor and Daemon, would have had a far stronger claim, IMHO. She benefits from being first born, being the declared heir, and having several kids already (as does Aegon the Elder) to ensure succession. Tying her older boys back around to Daemon and Laena via Baela and Rhaena was smart, but too insular, it doesn't pull in any other houses across Westeros. Joffrey isn't much of a pawn as his legitimacy is questionable, Aegon the Younger and Viserys are too young for a definite bond as of yet. IMHO Rhaenyra would have been better off marrying another great House instead of Laenor if the Throne was really on her mind, the Lannister guy in particular. Or at least quietly send the bastard boys away and marry a Lannister after Laenor's "death".