I don't think you know what transparency means...... Online wallets get hacked all the time. A simple USB flash drive is a great way to store your wallet between OS. The blockchain is completely transparent, it's just near impossible for any authority to link a wallet address to you with out you giving it to them.
Uhm, I think
you got it a bit wrong:
First, I'm talking about blockchain DOT info's (not the bitcoin blockchain) online wallet service.
Second, with transparency I mean "telling our users we accidentally royally fucked it up" and if there are any ways to corroborate anything blockchain.info says (as in organisational, operational, etc. not the bitcoin blockchain or the transactions per se).