With the greatest gratitude to Mike for the synching fix mentioned in this post, and feeling really churlish to ask for more ... I nevertheless plow ahead, and ask for one more thing.
I like moving among tabs in the Search Window with the keyboard shortcuts Ctrl+Tab and Ctrl+Shift+Tab. However, I find that this does not synch the Browse tab in the Analysis Window to the main Browse Window. The Browse Window follows the new Search Window tab, but the Browse tab in the Analysis Window continues to display the text as defined by the previously-used Search Window tab. (Clear?) To get the Analysis Window Browse tab to synch to the new Browse Window display, I have to do one of the following: with Update Only When Shift Key Depressed in the Analysis Window right-click options checked, I have to click in the Browse Window somewhere while pressing Shift; with Update Only When Shift Key Depressed unchecked, I merely have to click in the Browse Window somewhere.
Admittedly, this is very little to have to do! But it would seem natural that the Browse tab in the Analysis Window would automatically synch to the Browse Window when changing Search Window tabs with the keyboard shortcut, as it does when changing those tabs with a mouse click.