small signal schottky probably has less capacitance.
Obviously also less current handling capability
BAT54 is a small signal schottky that gets used in signal circuits commonly.
Its oviously in a smaller package, so less space on the pcb.
Of course, for really low capacitance, and really low reverse leakage current , people use "small signal silican diodes" and not schottkys, these tend to have superfast reverse recovey times of about 4ns or less, and really low device capacitance., and really low reverse leakage current.