Broken links have been happening since the web began. Any time you've made any web request, there's been a SPOF(1). In fact, think back to 2002-- remember when a good number of links you'd click were dead? When was the last time in recent memory you've had that happen? In fact, I argue that the web has a lower percentage of broken links today than back in the day. In 5 years, we'll likely have even less.

(1) Yeah yeah, I know, a drastic over simplification. There's Foundry LB hardware, round-robin DNS at different sites, BGP failover, etc.