Well, I have ever only had one lucid dream, but it was more profound to me. All things were perfectly illuminated and everything was clearer, perhaps perfect would not be too strong of a word. Something like the idea of Plato's Forms perhaps. I recall exploring the dreamscape, which looked like where I lived. I was able to jump, which was like an astronaut jumping on the moon.

By the end of it, I was trying to "summon" people but wasn't able to, and then the dream ended because I closed my eyes or started moving too fast or something like that.

So yes, for having so much more detail and abilities and knowledge, I think lucid dreams are more profound.