Hi Scott
The AmpliTube demo version (sometimes referred to as the AT4 Custom Shop version) comes with 24 models including a digital chromatic tuner, 9 stomps, 4 amps, 5 cabs, 3 mics, 2 rack effects. So as long as you have authorised it with the serial number found in your user area you will be able to access these pieces of gear.
In the drop down preset menu in AT4CS, you'll see an option that says "AmpliTube Free" which leads into 96 presets based on these free pieces of gear. These should all be available to use without requiring additional purchase or trial.
As Peter_IK says, if you want to trial other pieces of gear, you need to use the Custom Shop app to access these, where you can trial each piece for 72 hours restriction free.
sc00terg wrote:Does this mean that there are no presets that come with the paid version of Amplitude4?
With the paid for app (and any subsequent add-on packs) more presets become usable as you have the gear included in that particular signal chain.
Hope that helps.