> in case a nuclear bomb goes off
Or even more far-fetched, someone brings in a fan heater from home, forgets to switch it off one evening, some paper blows into the elements and sets on fire, and it burns down the building.
Keeping an off-site backup is not a ridiculous idea in itself. Could the business survive if the office burned down and all servers and data was lost? Maybe if employees are allowed to take data home, most stuff could be pieced back together, but even then it would be a substantial amount of work. But as with TFA, it's not something to spend a massive amount of money on. Where I work, all projects should have a daily backup to a central server (just simple batch script / shell script / version control system), and that has an off-site backup, which as far as I'm aware just means one of the admins swaps the hotswap bays and takes the discs home on a weekly basis. Total cost is about 5 minutes a week to swap the discs; the hotswap hardware itself, and a few extra discs is well under £1000. Everything else is no different from what we'd need to do for regular backups anyway.
Even for my own data, e.g. holiday photos, every so often I make sure to put it all on a removable hard disc and copy it onto my work PC. I'd certainly consider it worthy of a disaster recovery solution, given that it's so very easy to do.