Is Kylo Ren a prince?

Question

Princess Leia remained a princess after the destruction of Alderaan. In the new novel Bloodline, another member of the galactic royal houses says that Leia is entitled to a planetary governorship, which Ben would eventually inherit.

Princess Leia smiled at the kind mention of her parents. “My point is, I shouldn’t be the person inheriting the governorship of Birren in the first place.”

“But of course you should! None of the Elder Houses adjudicates succession through strict bloodline inheritance.” Privately Lady Carise held some reservations about this. Bloodlines had to matter somewhat, otherwise the very concept of royalty would be discounted. However, she believed that inner nobility could be demonstrated through action, and despite her political disagreements with the princess, Lady Carise felt nobody could deny Leia’s courage was the equal of any monarch’s. “You must succeed Lord Mellowyn, just as your son must someday succeed you.”

For a moment Princess Leia looked weary, as if she had aged between one sentence and the next. “I can’t see Ben taking much interest in the governorship, either. Really, it would be better for everyone concerned if I were to remove myself from the succession. Wouldn’t it then fall to you? Birren was settled by both Alderaanian and Arkanisian explorers, after all.”
- Star Wars: Bloodline

There is no indication in The Force Awakens that Kylo ever considered himself a prince, but is he a prince anyway?

Answer 1

Probably not in a formal sense

This is a difficult question to answer without formal statements on the matter — and there are none. Still, there is room for reasonable speculation.

Planetary governorship aside, Leia was a princess on Alderaan, a planet that unfortunately no longer exists due to the intervention of the Empire.

While Leia herself retains her royal titles, it seems to me that new members of the family, namely Ben Solo, might not be formally invested with the title of Prince, given that the site of investiture no longer exists.

Instead, it is more likely that Ben Solo is simply an heir apparent, and would be invested with the appropriate title should some "New Alderaan" be settled with monarchial ties to the old one.