Answer:
When other conditions such as speed and magnetic field remain unchanged, the voltage is proportional to the number of turns of the coil, so the number of turns of the coil has a impact.
However, "the generator can't even turn on the small light bulb", the basic reason is still that "the wire is wound on the wooden board", because the magnetic resistance of the wooden board is very large, almost identical to a vacuum cleaner. Just replace the wooden board with a silicon steel sheet (at least ordinary soft iron) and reduce the gap between it and the magnet as much as possible.
It's not a matter of import or domestic production, it's that your generator wire is too thin and the current generated is too low for a light bulb to light , current and voltage must be calculated together. For example: the electronics of an electronic lighter are actually the same. A generator,it produces a voltage of 10.05 volts. Do you think it can turn on a light bulb? If you still don't understand, please ask again