Go-arounds (or overshoots, if you like) are sometimes a fact of airline life, and some pax certainly become concerned, altho they should not be.
A kind word from the FD often is desired, and appreciated.
The pilots who I am really surprised at, are the folks who don't go-around, when clearly they should...the 'lets land if at all possible' scenario is often a cause for concern...and a few incidents.
Better safe than sorry, IMO.