The default ctrl+r behavior doesn't allow me to scroll up through my history of matches, which is always disappointing. Often it's some random incantation I'm trying to search for that shares a prefix with other more common commands and the default ctrl+r requires me to type out far enough to be unique, which defeats the purpose of history search. Maybe I'm missing some essential behavior that I'm not familiar with.
ctrl+r matches any part of the line, not just the commands / start of the line. I'm often using it on a unique argument I remember last using the command with.