it seems it was a combination of poorly soldered inductor and diode choice.
I have no idea on what diode would be ok then.
Here is the complete set of test I took
my cap, my diode, my inductor (initial soldering)= bad
their cap, my diode, my inductor (initial soldering) = bad
their cap, their diode, my inductor (initial soldering) = bad
their cap, their diode, their inductor = good
my cap, their diode, their inductor = good
my cap, my diode, their inductor = bad
my cap, new diode
SSA34HE3_A/H , their inductor = bad
my cap, their diode, their inducutor = good
my cap, their diode, my inductor (resoldered) = good,but theirs may be slighrly better
Why is it not working with the SS34FA or the SSA34HE3_A/H but their diode (with silkscreen SS34) does?
updates:
with a 1N1819 it really goes mad, Vpp is 2V
adding a 100n cap to the output makes no difference
adding a 100u cap on the top of c13 makes no difference, but adding it closer to the load (where the two pads are) makes even the SS34FA work reasonably well