While true, many would insist it should be the other way around. And it has been the other way around, a long time ago. Which is part of the reason that continents in the Northern Hemisphere were covered with ice.
If you are referring to the last ice age which ended about 12,000 years ago, the tilt of the Earth's axis was nowhere near reversed as you seem to be suggesting. In other words, the northern hemisphere was still angled away from the Sun at basically the same angle it is now during its winter. However, the Earth itself may have been further away from the Sun during that period, since the shape of Earth's ellipse changes periodically (gets slightly longer and narrower in a predictable cycle of roughly 100,000 years).
I should have been clearer.
And, you are, of course, correct as well.
Just like Earthquakes, there is no ONE factor that causes Earthquakes.
The moon used to be much closer to the Earth, than it is now.
The Earth has not always been in an elliptical orbit, nor has it’s apihelion, and perihelion been stable.
Neither has it’s tilt, nor it’s wobble, nor has the magnetic pole stayed in the same place for very long.
(and I know you know all this, too.)
My main point is that many people (in North America) think the Earth is closer to the Sun in summer, and further away in winter.
Because they don’t truly understand the various effects in play that cause the varying overall (global?) temperature ranges on various parts of our planet.
Many people think that when it’s cloudy, that the sun isn’t shining on the Earth, or that when it’s dark, the Sun isn’t shining on the Earth.
Of course, many do not even understand the real reason it is even dark, at night.