No security is perfect of course, but Coinbase has over 98% of the funds in cold-storage.
See: http://antonopoulos.com/2014/02/25/coinbase-review/
On average 98% of customer bitcoins are held in cold storage...Offline wallets are generated from an offline system and kept in paper format in three separate locations, using a technology based on raid.
https://bitcointalk.org/index.php?topic=23938.40
http://www.managementtoday.co.uk/bulletin/mtdailybulletin/ar...
But of course, they weren't really in cold storage or offline after all, because somehow they all disappeared...
Not that I mistrust coinbase specifically, but without insurance, audits and regulation (i.e. without a banking license), I'm not sure I'd trust anyone to store significant amounts of money.
Unproven claims aren't worth much.