A/B testing isn't immune to being as broken as the UX in some of the gnarlier bits too. Perhaps some of the links that simply don't work on the Facebook mobile app are busy signalling that they get way more clicks than the one that successfully loaded the content...
Google's terrible at UX. I once spent about five full minutes figuring out how to navigate my dad's phone app on his Android phone, so I could help him use it, after an OS upgrade. There were some tabs that didn't look like tabs and didn't indicate which was active, turns out. He'd have had no hope of figuring it out on his own.
Once was helping my grandma add contacts in Gmail. She had failed repeatedly. Kept hitting "add contact" and it'd blank the form she was on, without adding the contact. This was because there were two same-color-and-weight add-contact buttons on the page, with the same copy, and one submitted the form, while the other gave you a blank contact form. You pretty much had to be familiar with how HTML nesting worked to have good shot at guessing which was the one you wanted, just by looking at it.
That second one's an older version of the UI, but holy shit it was bad. They definitely make mistakes, and really obvious ones at that. Money and "smart" doesn't mean shit.