Y'ha-nthlei Statue:

Characters with printed skills 1 or lower are destroyed.

The question is, the insane characters are destroyed after i play this card?

question has been answered before I believe. Insane characters have an undetermined/unknown printed skill. The statue will therefor not destroy insane characters.

Yep, the way it was phrased is the is no printed skill to check at all so it cannot even begin to resolve on them.

Penfold said:

So, because the card says "printed skill" you look at the actual skill printed on card, even when insane? Otherwise, if it just said "skill lower then..." it would consider insane characters as 0 skill?

That is correct. If it had said characters with skill 1 or lower, it would hit insane characters. Since the card does not say to turn over, reveal, or any other wording indicating that you need to look at the printed skill on the other side of an insane character you completely ignore that side. The game rules define how to handle and what the stats are for insane characters, and so you only take that into consideration unless the card specifically calls out for something else.