Hi,

Does White Out apply to attachments of the target character?

"Play during your opponent's turn

Action : Choose a character that is currently committed to a story. Until the end of the phase, that character does not count its icons or skill"

As it doesn't say "printed icons" does this apply to icons or skills gained from attachments or other card effects as well?

yes, as you said it doesn't write "printed icons or printed skill".