Well, but parameter search can give you the "feel" (don't know how to say, because of my lacking english) and then datasheet can give more specific info.
So here is 1N5822 (diode 1) and I chose a random diode to compare B340AE (diode 2):
Same max reverse voltage 40V
Diode 1 Vf = 0.525V @ 3A
Diode 1 max Ir = 2mA @ 40V @ 25C
Diode 2 Vf = 0.47V @ 3A
Diode 2 max Ir = 0.2mA @40V @ 25C
It is not easy to compare very precisely, but 10x less leakage must mean something. Also I'm saying this from years of experience, leakage is not simply proportional to Vf it is a complex result of die manufacturing process.