I'd say most desktops are more open than blockchain.info or inputs.io. Only thing is you have to trust the admins. For some small amounts it's ok though
But it is not difficult to secure a desktop and with a paper wallet, an insecure desktop or an insecure server is not an issue.
btw it's not just the admins you have to trust with a web wallet. Hosting company, security of your browser, etc.