No, it does not.
Premium Service is a one-time purchase. Even if you switch to a new device or buy a new iPad, you can keep using Premium Service for free on any number of devices, as long as you use the same Apple Account.
Compared with paper household account books, once you have purchased it, you can keep using this app comfortably for years to come. Watching years of your data build up is fun, and we believe you will find it very useful.
We hope you will consider it.