Re: Science, all part of the fun.
Indeed. My understanding of pre-industrial ice age dynamics is that it is, in a word, complicated. There is some evidence (Shakun et al, Nature -- sorry, abstract only, full article paywalled) that, first, the Milankovitch orbital cycles came around to the "a bit warmer" part of Earth's shifting orbital configuration. Then the slightly warming seas were forced by the laws of physics to release some of the CO2 dissolved in the water; this caused more warming.
In other words, according to Shakun, the 600 to 1000 year lag between the onset of warming and the rise in atmospheric CO2 is one lag in the warming feedback loop. Approximately 93% of the interglacial warming occurred after the rise in CO2; the prior Milankovitch rise in temperature was therefore only 7% of the total interglacial warming. It only takes a nudge, perhaps.
However, it's more complicated than that.
Glacial erosion during the ice ages also "fertilized" the oceans, especially once the ice began to melt and the volume of glacial flour -- very finely ground rock -- washed into the sea increased. Iron, in particular, is a limiting nutrient in much of the ocean, and glacial outwash put more iron in the oceans. That would increase phytoplankton growth, sequestering CO2. But the erosion would also expose fresh carbonate rock -- limestone, marble, et al -- to weathering, which would release more CO2.
But it's more complicated than that.
As the continental ice sheets in North America and Europe melted, the influx of fresh water in the north Atlantic shut down the meridional overturning circulation (AMOC), causing local cooling in the northern hemisphere and warming in the southern. Apparently this inconsistency between hemispheres caused some instability in temperature: the northern hemisphere above about 30 degrees latitude bounced between warmer and cooler from about 15 to 11 thousand years ago. The equatorial and southern regions warmed fairly steadily over the same period.
And yet more complications.
Summertime albedo over the areas covered by continental ice decreased as the snowline moved north, exposing dark earth and stone. That enhanced warming. Increased amounts of gaseous H2O (water "vapor", fergodsake, it's not steam or vapor, it's H2O in gas phase!) in the atmosphere led to increased heat capture (H2O is a "greenhouse gas") while at the same time presumably increasing cloud formation (now, a cloud, that's like steam), especially in the tropics, thereby increasing albedo and reflecting more sunlight during daytime. But trapping more infrared radiation -- heat -- during the night.
And never mind the volcanic eruptions which probably reversed the warming trend temporarily during the Little Ice Age. And the apparent minimum in solar activity in the middle of that cool period, the Maunder Minimum.
So the dynamics of Earth's heat budget are complicated. It a nest of interlocking feedbacks. But the composition of the atmosphere -- methane, CO2, gaseous H2O, sulfur dioxide (from volcanoes), etc -- seems to be the largest driver.