They are being truthful, lsfoster. The protein does not become active until it enters the host. It then replicates and alters to form the foreign substance that causes the body's immune system to activate and create antibodies.
The fact that you don't understand what I'm trying to explain is exactly why they can get away with bending the truth in their statements. This is not an "inactive form", and it will not "become active" once injected. It isn't the virus. It is a protein that will self-assemble into the same structure as the HPV capsid protein. This will also lead to a response from the immune system, but it is actually misleading to say that it is an "inactive form". It's just something that most people will take at face value because they don't have a better understanding of how it works, which is why they are able to put it on their flier.

