I'll try the velocity as 1. (BTW, why 1?
We would like to set 0 but this gets interpreted as note-off.
Velocity 1 is the least evil.
My assumption is that synths built especially for wind synths will just totally ignore velocity
Well, the synth needs the start of the note and that comes with velocity greater than zero. And it needs the end of the note. However, synths made for windcontrollers should not make sound with velocity 1 while most other synths do. Actually a dedicated wind synth should not sound without the "sound event" it is prepared for (i.e. CC2). But since we seldom know what a synth exactly does internally, we set the velocity as low as possible.
Working with CC2 should be the default setting for a dedicated wind synth, but this can usually be changed to another CC number or Channel Pressure, just to be usable with different input devices and settings.