Wildshapeing will o'wisp versus true seeing

[bobthedragon]

I'm playing a level 15 druid with Abhorrent wild shape and found this level three spell:
Cloak of Khyber(DR337 p59)
<Ill(glamer), VSF(50gp Khyber Dragonshard),
1StdAct, Personal, 1day/lvl>
– Six hours after being cast, the caster’s
becomes protected from the following:
a) Divination effects that determine
alignment; and
b) being recognized as a disguised or
Shapechanging creature by True Seeing.

If I turn into a Will O wisp which has the (Ex) ability:
Natural Invisibility (Ex): A startled or frightened will-o’-wisp can extinguish its glow, effectively becoming invisible as the spell.

Would this effectively give me invisibility from true seeing? Or would I still be visible to true seeing, just as a will o' wisp?

[Flickerdart]

The wisp's invisibility is not immune to True Seeing, so it would be detected. The Cloak of Khyber would only prevent an observer from realizing that you are really a wizard and not a wisp at all.

[Fouredged Sword]

Trueseeing will still bypass the invisibility, but it will read you as a natural will-o-wisp.