The important question is if you have AnyConnect 4 Licenses. If yes, then you can activate the license on all your ASAs as the license is not per device or per connection. Instead the license is per User.
If you are still running AC 3, this license was per device and you needed one license per ASA and the license was bound to the ASA serial number.
The output that the ASA is "5525 Premium" is completely unrelated to the VPN licensing.