This is somewhat untruthful. If apt fails, it tends to leave detailed error reports, and does its best to leave things in a sane state. However, if you're using apt, you're doing it wrong - aptitude is where it's at.
Home brew, when things go wrong, goes wrong disastrously in my experience. You're never quite sure where you're left, and you have to spend a fair bit of time picking through what actually failed.
If APT fails catastrophically, your complete system could be in limbo. If Homebrew fails catastrophically (which never happened to me), the rest of your system is fine, you wipe out /usr/local and are up and running again in a couple of minutes (since most large packages are bottled).
By the way, aptitude does not really help you in the typical error case: a package (continuously) fails in dpkg-reconfigure, which causes the complete install/upgrade to fail.
Home brew, when things go wrong, goes wrong disastrously in my experience. You're never quite sure where you're left, and you have to spend a fair bit of time picking through what actually failed.