In a non-passing situation, they will upshift quickly and keep rpm low IF you are gentle on the throttle -- just like most probably do with a manual. If throttle is aggressively applied, it will rev much higher before it shifts -- just like most probably would do when aggressively using the throttle of a manual.
In passing situation, if the throttle is held well above what is necessary for the current speed -- it will figure out that it is supposed to go much faster than current, and will downshift to help get there --- like most would probably to with a manual.
The number of downshifts will be in proportion to the amount of throttle above what is required for the current speed.
If it is run with aggressive throttle application, and the throttle is rolled quickly rolled off (either because of traffic or because desired speed reached) -- it will seem to hang in the current gear before upshifting -- as if it is wanting to be sure that no more rapid acceleration is required.
Sometimes I use the tap/shift in passing situations, sometimes I just twist and let it do it's thing.
Usually I run in tour. I don't don't switch auto modes nor do I change it to manual when I need to pass.