I would say yes.

Going back to the wording of the White Lantern
The bolded part seems to be the key here.

Do those powers allow the use of Regen or Support?
Simple question right? I would say the answer is yes. The power does allow the use of either Support or Regen. It is conditional, but the prerequsite of the conditions for the White Lantern have been met.

If a figure had a power that said "This character can use Impervious, and, on Tues, Wed and Thurs, between the hours of 13:00 and 18:00, they can use Regeneration.", could that power be countered at any other time besides those stated on the power when it could be used?

Nico wins, as she is a person, and the lantern is a lamp.

Then the White Lantern should be worded more like

Yes, it could be countered, because besides those times he is not a character that can use Regeneration.
Look at Namor again. He can use Regeneration when in water terrain. If he is not inwater terrain he is not a figure that can use Regeneration.

I've had pretty deep philisophical discussions with lamps. Sometimes, they let me win any arguments.

It doesn't say "Can use" It says "Allows their use"

To me, it is a fairly big difference

If she Chooses Stealth does it Allow her to use Regeneration or Support as well? No, it only allows her to use Stealth. Until she picks a power it does not allow her to use anything, and when she does it is only that power until the beginningof her next turn.

But it isn't. Not as far as Heroclix is concerned, at least.

In the Namor example, could his power be outwitted if he's out of water?

Yes it could.

Just to take it a step further, how far does...
...extend?
You can Outwit Namor's Aquatic Regeneration SP when he is not occupying water terrain, and he is within 4 squares of the White Lantern. On his turn, he is TK'd to a square of water terrain (or a Bucket of Water is TK'd underneath him, or Tempest moseys over, etc) that is still within 4 of the White Lantern.
Is Namor now able to use Regeneration? He has a power allowing it's use, he meets all the conditions of it's use, and under the current circumstances, that power cannot be countered. Does he get Aquatic Regeneration back, as the conditions have changed, and the WL provides a rectroactive protection? Or is Aquatic Regeneration still in it's "not on the dial" limbo?

Does "cannot be countered" mean "an action cannot be taken to counter" or "cannot be in a state of being countered?"

If the power is Countered while he is in clear terrain and then he is moved/placed in water terrain, he does not have the power to grant him Regeneration so there is no power for the White Lantern to protect until the outwits time runs out.

While I am inclined to agree with this, I feel that there is a good enough reason for this not to be the case.
Consider the case of a figure who has the Power Cosmic/Quintessence TA for part of their dial. If a power on their dial is Outwitted while they do not posses the PC/Q TA, and they then obtain the TA, if they still have that Outwitted power showing on their dial is it still Outwitted?
(You can Outwit High Evolutionary's Toughness on click 2, but when he pushes/gets poisoned/damaged onto click three, is his Toughness still Outwitted? Crisis Kyle Rayner can have his TK outwitted 4 and 5, but a successful Support roll that heals him back to click one will find him in the same situation.)
Is the power of a figure that is legally Outwitted while it can be, still Outwitted when the figure reaches circumstances where it's powers cannot be countered? I don't know if there is a ruling for this, as it only just popped into my head, and I can only think of those two cases where it is relevant (new Super Adaptoid doesn't have overlapping powers), but I cannot help but think that powers would "return" under those circumstances. And I see the WL putting the same conditions on Namor.


EDIT: Another way that the circumstances would come up would be if any old PC/Q figure had their TA countered (Time Trapper, Skrull-ojacket, Dirk Anger, Thwart?) and a power outwitted. Should they get their TA back, either by killing the offending Outwitter or Outwitting his Outwit or however, do they regain powers that were legally Outwitted in the moments they were able to be?

The Team Ability says that their powers cannot be countered, at the time the power is Countered, the team ability did not exist and there for the stipulation not an issue. If a power is countered and then they gain either of these team abilities, the power was already countered and does not exist on the dial for the Team Ability to protect it.


P.S. Dirk does not Counter:

The ruling has been that if a Power Cosmic character somehow loses their team ability and their powers are countered, when the team ability comes back, the powers are no longer countered.

This came up once in a while when the rules still had optionality and canceling, since you could (in the past, not anymore) Mind Control Thanos and have him cancel his Power Cosmic and then Outwit him.

EDIT: So going from that, Namor's power would be no longer countered if he ended up on water near the White Lantern.