Something this small is especially challenging to print when the cross section in the horizontal plane is so tiny. By breaking apart the design and printing flat, the layer lines allow fewer restrictions on what can be printed successfully. You may be able to import the model into Meshmixer and use Edit, Separate shells to get the component parts.

Another advantage to flat component printing is you can use "normal" thickness for the layers, speeding things up. I've recently printed a part with 0.300 layer height, so much more quickly than the forecast thirteen hours. Due to the layer orientation, it's not as coarse as one might think with 300 microns. Sophisticated curves are a different matter but not if it's printed flat.

I've seen that model before, but can't place the origin. When I see posts of images of this sort, I think how much fun it would be to build one, but not as much fun during the printing phase, if there are tolerance problems during assembly!