That's quite true, if we're talking about power schottkys - however, any small signal schottky that's suitable as a RF detector diode (BAT41 springs to mind, but there are literally hundreds of others) will exhibit a Vf similar to or lower than that of a germanium device. The point is that regardless of which device you choose, your pickups will have to produce a voltage swing well in excess of the forward voltage of the chosen diode for clipping to occur, and whether that Vf is 300mV or as low as 100mV, there aren't many pickups that will produce enough voltage swing to clip hard enough to impact the sound much except on the initial attack. You can always get around the problem by using a preamp to boost the pickup's output, but then you've built 75% of a DS-1, and it's silly not to just complete it and have a distortion box. Like Bob always said, there ain't no such thing as a free lunch.
We go through this same question cycle every few months, and never seem to come to any conclusions, so here's my final word on this:
Lovekraft's Passive Clipper FAQ
Q. Does the Black Ice/Strawberry Ice/passive diode clipper really work? A. Yes, to a limited degree. Q. Will it make my guitar sound like a tweed Fender? A. Probably not. It still might be a sound you like - the only way to find out is to try it. Q. Is it worth the trouble to try it? A. Well, since a pair of schottky or germanium diodes are fairly cheap, probably, especially if you keep your expectations low, and you have hot pickups. If you can't handle disappointment or view failure as an indication of lower self-worth, please avoid this project! Q. What's the easiest way for mw to find out if my setup will sound good with a Black Ice/Strawberry Ice/passive diode clipper installed? A. Try soldering a pair of anti-parallel diodes across your output jack temporarily - that will give you the sound of this unit wide open. If you like it, proceed to wire it in permanently with whatever pot and switching options you find useful.
As always, YMMV!