I have an update about this solution I posted. That is:
radPView1.ViewMode = PageViewMode.Backstage;
radPView1.ViewMode = PageViewMode.Strip;
I am using the control in Strip mode and was also noticing that the selected tab did not highlight.
The two lines above did resolve my problem, however I have since found the cause of the problem. Before toggling ViewMode, I was calling .BeginInit() and .EndInit(). Calling these methods caused the tabs to stop highlighting.
Toggling the ViewMode fixed the tab highlighting problem, but caused the drag and drop tabs feature to stop working. So, the bottom line it that resolving one problem caused another with the control.
After some experimenting I realized that I don't need .BeginInit() and .EndInit(). This means I don't need to toggle the ViewMode bit after all. So, in my case, I took out the unneeded lines and everything is working fine for me.
I guess the take-way is: If you're having trouble with RadPageView behaving, it may be because changing certain attributes seems to unexpectedly effect how the control operates.