I can confirm that Databases don't work on the Device Web Inspector. In fact, most elements in the Resources tab don't work. Unfortunately the iOS 6 Web Inspector is an experimental and reverse-engineered feature relying on undocumented iOS protocols and as such is not guaranteed to work in all cases.
We will look into the issue and see if anything can be done to fix this.
All the best,
the Telerik team
Share feedback and vote for features on our Feedback Portal.
Want some Kendo UI online training - head over to Pluralsight.