Cyberpunk still resonates and has cultural value for many reasons (the aesthetic not the least among them) but primarily because it is very much human-centered, messy, broken and glitched, or, to put it another way, realistic.
Previous SF genres had shiny futures, technology that worked, bad guys who were bad and good guys who were good... cyberpunk turned that all on its head and asked "What if everything is as broken and shitty in the future as it is now? What if it's even shittier? Never mind the captains and the heroes, what will the lowlifes and the junkies and the scoundrels do in the future? What if technology is no solution but just a source of more problems?"
These questions remain as relevant and compelling as ever, and so the genre endures.