I haven't seen any evidence for that (based only on my own experience). I don't know when others started using perpendicular recording, but I believe the first "mass use" was the Seagate 7200.10 drives. I use maybe twenty of these and, so far, I've only had one drive that even developed a single "reallocated sector".
My 7200.10 drives are all 320 GB and were purchased in the 2006 time frame. They are used for nightly backups and are swapped out and carried offsite on a three-week cycle. So they are on around a 33% duty cycle, but get very hard use while they are in their servers (six-hour backups each night). Plus they have to survive transport every three weeks in a car between the server owners' homes and businesses.
On the other hand, I've had about half of my Seagate 7200.7 disks (mostly 200 GB) develop bad sectors. These were used in the same manner as the 7200.10 disks. Admittedly, these disks are a couple years older, too. But I'd be hard-pressed to say that perpendicular recording was worse.
All-in-all, I'm pretty pleased with the Seagate 7200.10 320 GB perpendicular recording disks so far (and, no, I'm not a big Seagate fan).