You want to check something real quick on what... the internet? Then you have internet access. You also have access to the local data on the machine as long as it was asleep rather than off, which will be the case the vast majority of the time.
Keeping the key stored on the machine, TPM or no, is also less secure than keeping it somewhere else. If someone steals your laptop, you deny all access to the key on the server and they can't get it even if they could guess the pin (or the user wrote that on the bottom of the computer), and there is no way to use an offline method to extract the key from the TPM because it isn't there.
