White goods, as you call it, have extremely long lifespans. You go can to any old home and still have refrigerators, range ovens, cookers, toasters still working, they are extremely reliable unless they were made poorly. My grandfather still had his original circa 1930s appliances still working, and what was replaced since that time were far over 20+ years old, it outlived him and my father. What tended to kill refrigerators was the gasket would deteriorate or the coolant leak or the compressor blew, but after decades of service. So many refrigerators live so long, the current movement to upgrade them to modern ones is based on their higher energy efficiency: c1950s refrigerators my brother used cost $1000/year to run, he upgrade his this year, and power consumption show it will cost $50/year to run, that's amazing.
However, my experience with digital controllers has been poor. What takes me one twist to set an old analog timer, or heat setting, now takes me 3 push buttons plus enter to do, and every now and then, the digipad would put an extra digit in, so what was 55 seconds, is now 5:55! Maybe you can do better.
In washing machines, small amounts of bleach erodes the protective coating on digipads, causing premature failure; nothing like that happens on old analog controls, old washing machines often have their motors burn out from use or the drive belt snap. This is more than my experience, you'll still find appliances for sale today with analog controls because the digital versions are still not as robust or cost effective to make. My experience with friends who have gotten chic appliances is that these MCU controllers become a major PITA, that cause more problems that they solve.
However, I have seen no change in reliability in microwave ovens, but its the digipad again, fails from repeated use.