Your own logic is defying you :-)
If the white paper reflects a lot of energy, then it can't be as hot on the "dark" side of the paper (not facing the sun) as on the "light" side of the paper (facing the sun and reflecting energy)
Given the thinness of the paper, this difference can be measured in fractions of a degree.
Furthermore, light that's *reflected*, by definition, doesn't heat the paper. Only light that's *absorbed* (e.g. by a dark surface) will heat the paper.
, furthermore, you have a very small layer of air between the paper and the glass which will be heated up and stay hot and without any direct convection won't move a lot.
There is *always* convection. The 1cm layer of air between the glass and the paper is connected to the air in the rest of the room. If it heats up, then, by definition, it will rise out of the way, allowing cooler air from beneath to take its place.
On the "dark" side you have an entire room and thus don't get a layer of air trapped.
Again, the thinness of the paper ensures that the temperature on one side is much the same as the temperature on the other.
Furthermore, the glass itself, whilst transparent, will become at least warm and again act as a thermal mass, tending to keep that side hotter.
Not when the paper isn't in direct contact with the glass.
Sure, if you hold a paper cup for a while (thinner than most media, but I guess comparable) it gets too hot to hold over time. Dip your finger into the liquid and it will burn you right away.
That's not because of the temperature of the paper - that's because of the temperature, thermal mass, density and conductivity of the water.
Liquid water stores around 4.2kJ/kg for each degree that it's heated. It's also fairly conductive and distributes heat throughout its own mass via convection. At 1g/cm2, it's also much denser than paper. If you dip your finger into hot water, your finger rapidly reaches the same temperature as the water.
Paper, on the other hand, stores much less energy and does not undergo convection. If you touch a piece of hot paper, your hand will cool down the paper much more than it will heat up your hand (since your hand, essentially, is a bag of water).
For similar reasons, you could put your arm inside the 100 million degree plasma of some types of experimental fusion reactor and suffer no thermal effects (radiation is another matter entirely).
It's true that at some part of the day, a print on the wall may receive almost as much energy as a print on the window (less that lost due to passing through the glass and the related heat into the air etc) but as you noted, the exposure time for direct sunlight will typically be far less and it has the advantage of the thermal mass of the mounting and the frame and, to a lesser degree, the air behind it and the wall. The temperature of the print is likely to be more consistent throughout the day and througout the substrate itself (i.e. less differential most of the time from one side to the other). This is important when considering expansion and contraction of different materials at different rates. More consistency, less extremes = less effect.
The expansion and contraction of paper due to fluctuations in humidity is at least an order of magnitude greater than the expansion and contraction due to temperature.
If that wasn't true, by your logic, prints on the wall would exhibit exactly the same problem as your ones on the window after a proportionately longer time (taking into account the lower direct sunlight hours), but clearly they don't. Most of us here can point to prints which have hung for a decade or more without such issues.
A decade, or even three or four decades, is insignificant for an inkjet print. I'm talking about the equivalent of 100-200 years of display.
Don't forget, high-quality microporous inkjet paper has only been around for a decade. The only long-lasting, photo-quality inkjet prints from before that were from Iris printers, which printed on uncoated paper.