Ha! This reminds me of something I heard on the radio in Florida. The little girl announcer was saying that the incidence of skin cancer in Florida is higher than elsewhere "Because we are closer to the sun." LOL
you're right that our distance to the Sun has very little to do with the temperature. in fact, in the heliocentric RE model, the Earth is closest to the Sun in the Winter, and farthest in the Summer - due to the elliptical path of the Earth around the Sun.
So actually, the seasons work more like this:

Note how, in the Summer, the Sun's rays are more concentrated, and in the Winter the Sun's rays are more spread out on the Earth's surface. Since the Sun's rays are more concentrated in the Summer, the Earth is hotter in that region. Similarly for the Winter.
You can formalize this in the following way:
Intensity is defined as Energy per second (which is Power) spread over a certain distance (or area). In the illustration, each ray of light represents a certain amount of energy - and power - (since each light ray carries some energy). Therefore,
I = N*P / D,
where
I = intensity,
N = the number of rays of light,
P = the energy per second of one ray of light, and
D = the distance that the light is incident on.
this gives:
I(S) = 3*P / s
and
I(W) = 3*P / (s + s')
thus the ratio:
I(S) / I(W) = (s+s')/s = 1 + s'/s
Thus I(S) > I(W), showing that it is hotter in the Summer than in the Winter.
I hope this sheds some light on the issue.
I'm eager to see some formulation for the cause of the seasons in FET.
Thanks, be cool guys.
EDIT: updated my picture to show s, s'