This is a great question, and it brings up issues that I hadn't considered. That's probably because, I've been using the Burkholder method, and he recommends turning off all color management.
But if one's using color management, then I could see where rendering intent could have an effect. I can also see where black point compensation could have an even greater effect.
As to rendering intent, it may become important, if one is using saturated color to help block UV light. My inclination would be to use perceptual, as both the colorimetric (relative and absolute) clip saturated colors. This could result in loss of detail. Whereas, any effect that perceptual might have on an alternative image could be compensated for by adjusting exposure and contrast. (Like on pt/pd.) I offer these comments without benefit of experimenation!
Rendering intent affects the more highly saturated color. If one's not using this for help on UV blocking, I don't see where rendering intent would have that much of an effect. Best to stay consistent with what's worked in the past, though.
However, I could see black point compensation as having a large effect in the highlights of a print. It's hard to noodle how this might have an effect, so I could see trying with and without and seeing what works best. Since the purpose of black point compensation is to preserve detail in the shadows (on the negative), look for the setting that best preserves separation in the highlights of a print. But, black point compensation can also restrict density on the negative, and this too might cause a loss of detail in the highlights. Again, it's hard to noodle; best to experiment.
And, all this would depend on what profile one's using. Again, be consistent.