It is true because tire compound age has something to do with this as witnessed by tire sidewall cracking (AKA, tire rot) that occurs near the rim. Ozone is the biggest enemy of tire rubber compounds followed by heat induced into the tire, either from running at high speeds and aggressive driving (cornering) or towing or hauling a heavy load. Rim material also plays a part in this, as steel is more dense than aluminum or magnesium, so a steel rim will not loose air pressure as fast as aluminum. Not sure where carbon fiber rims fits into this category.
As since we are on the subject of air pressure loss subject to tire age, a new study (not sure who did this, like Consumer`s Report or AAA) suggests that tires be replaced every five years due to tire rot and sidewall degradation for safety reasons regardless of how many miles are on the tire. On daily drivers that may be true, but for garage queens and collector cars that only see the sun (not rain!) a few times a year with OEM (Original Equipment of Manufacturer), that is a problem. Collectors know that finding original old OEM tires to have a truly 100-point concourse year/era-correct vehicle, (Not New tires made from the original molds or New Old Stock (NOS)) is almost impossible and when they do, the price is astronomical, depending on the condition. That said, vehicles that are more than 50-years old are probably shod with some non-OEM aftermarket tire or an NOS OEM tire because the old original OEM (sorry about the double-double term!) tires have rotted away and are simply not useable, just so the vehicle is drivable and road-worthy.