I don't know this for sure, but....
think about it, WATER, which has a higher refraction index than AIR, but lower than LENS GLASS. It stands to reason the light would be bent LESS by the difference between WATER and GLASS than AIR and GLASS. Therefore the angle of view would be narrower. I'm just using my intuition here, and haven't provent it with math, but it seems to makes sense to me... - LONGER LENS sounds right - .... now I should go read that link! :)
And after reading their post - my conclusion and logic follows theirs.
It has to do with the RATIO OF THE INDICES OF REFRACTION OF THE MEDIUMS - less difference = less bending of light. less bending of light = straighter field of view...
easier to think of it in reverse... by tracing the frustum OUT of the lens... less bent in the water than in air.