The app purchase does not equate to a full PC version purchase, but the iPad version does integrate with the PC version (presuming you have a wireless LAN).
The demo version is freely available, but I haven't tested connecting to it with an iPad or another full version client.
I tried the demo, had a geek-giggle meltdown and immediately purchased the full license.
I regret nothing.
"There is an old Celtic saying: "Coimhéad fearg fhear na foighde."
-Beware of the anger of a patient man.