The Standard Atmosphere dates back to 1962 when Earth was colder. The 1976 update didn't make changes within 50 km altitude (the tropo- and stratosphere). It assumes 15°C at sea level, decreases until minus 56.5° at 11 km (36,000 ft) and keeps that value until 20 km (66,000 ft) from where temperature increases.
Now I wonder whether 15°C at sea level is still the appropriate temperature to be set. It's a value that would be reached at 45th latitude from late fall to early spring but is it really appropriate to use a model that cold, especially since Earth has become warmer? Take the surface pressure on Mount Everest's summit for instance: in spite of an absolute elevation of 29,032 ft, even in January the summit of Everest is barometrically lower than that, it doesn't ever reach an altitude as high as FL290, i.e. a pressure as low as 4.575 psi. Mt Everest's average surface pressure is slightly below 5 psi, making Mt Everest actually slightly higher than 27,000 ft in the International Standard Atmosphere. If your plane's altimeter shows 28,000 ft, you're able to fly over the summit of Mt Everest.
Now let's take a look at the Chimborazo which is on the very equator and so the temperature doesn't change but remains the same throughout the year. Despite having an absolute elevation of 20,548 ft the barometric altitude of Chimborazo's summit is actually around 19,000 ft, again more than a thousand feet lower than its absolute elevation. That's because Ecuador's sea level temperature is higher than 15°C.
Now you may say "But around 45th latitude the average temperature is still around 15°, and closer to the poles it's even colder". However, noone lives on or too close to the poles, and main climbing and vacation seasons are in summer when the atmosphere is more stretched and mountains have lower barometric elevations in the ISA than they actually have above sea level, and so the altitude shown in altimeters isn't the same as the absolute altitude. That's why from a practical point of view, I see more sense in setting sea level temperature to 20° or 25° as more appropriate perhaps, and setting the pressure altitude from that warmer value.
Another part of the ISA which I don't quite agree with is the alleged isothermal layer from 11 to 20 km because I find it oversimplified: it doesn't exist like this. Temperature just decreases much more slowly beyond 11 km until an altitude around 16 km (52,500 ft), from there it increases again, and above 20 km just more quickly. And considering the Earth having gotten warmer, this may change upwards as well.
Did the Earth get warm enough so that the ISA should update their pressure values for an Earth with a sea level temperature at 20-25°C ? Could it be realized easily with the altimeters of aircraft to be readapted?