You are correct that PAT has no value now because the contract was created three days ago. You are also correct PAT price may collapse due to huge inflation one day, which does not mean it cannot surge before its dying. Keep in mind, the first withdraw will happen 4 years later (48 deposits needed), so no huge inflation but only deflation (depositing) within the first four years.

You call the project "really strange and unique". Thank you. This is exactly the value of the project.