The Lunar elders gain nothing by hiding the existence of the Sidereals from their youngsters. I'm not saying there's a full history lesson and reeducation, But I expect any Lunar to be able to
A) Recognize the proper names of Celestial Exalted, the various Castes thereof
B) Know that the First Age wonders were made by the Twilight Caste
C) Know that the Sidereals masterminded the Usurpation and that the Loom of Fate can track the Lunars
D) Have about twenty different opinions on the Solars presented to them in the form of subtext, with no one proper doctrine or party line.
To answer your question. I don't like Sidereals. Like I said, I have very high standards for subtlety and the Sidereals fail miserably. At best, they foist the actual legwork on the pattern spiders. The Bronze Faction simply compounds that with stupidity. About the only faction I have respect for is the Silver Faction, and then only because they're the ones that have correctly spotted the only individuals that have any understanding about what a civilization must be: everchanging.
C. Autochthon knew, too. His response was to flee before the Solars turned on him. Lytek doesn't have that option, and he's already been assaulted by Sidereals. Any attempt to spread that information would be a political nightmare, probably get him censured for disrupting the Bureau of Destiny, and possibly cause another, more tractable god to take his place in the Celestial Bureaucracy (which I remind you happened once in the Usurpation, demoting him to his present state). All of which means that sharing the information openly is A) bad for him B) bad for the Exaltations and C) bad for the rest of Creation.
As for recruitment, who would he go to? The Sidereals are the only ones who have the authority to be active in Creation on a routine basis, and even going to the Sidereals would be a political disaster.
Ah, found it. Compass Celestial 3, page 143. Lytek and the Maiden of Secrets both know of the Great Curse. Canon. And apparently he is working with the Gold Faction, or trying to, so some of my conclusions were a little overreaching. C'est la vie. His current focus is on Abyssals, which makes sense. If he can get a hold of an uncursed Solar Exaltation, it would be a coup for his research into removing the Curse.