What would the purpose of this type of time delay be?
A will? An inheritance? These are the only that come to mind at the moment.
It does seem like it would be better to handle the delivery of the funds yourself. Rather than keeping the funds locked up, they are in your possession until they need to be sent. If some unforeseen event happens, the funds can be accessed.
I helped create LBAAT along with nelisky.
One use I envisioned was similar to captcha. You provably send bitcoins to YOURSELF as a way to prevent spamming a site. The site can verify that you sent $5 worth of bitcoins to an address that can not be redeemed for X days. Once the private key was released, you sweep the coins back into your wallet.