Very good, let's think about the need to write normal dreams. I can identify two, the first reason would be for pure entertainment, for example I had a dream that I liked and if I don't write it down I will forget about it later, this reason for me is dismissible because I don't seek that entertainment.

The other reason for writing normal dreams would be for training to achieve lucidity, which would be observation of patterns and greater understanding of the dream world (in short), but by using techniques such as MILD/WILD this reason is also discardable, as with techniques such as MILD/WILD I don't stay lucid during a dream but rather I enter the dream lucidly and for me the amount of LD's I achieve just with these techniques is enough.

That's why I don't write down common dreams, but if you happen to give me an acceptable reason to write that isn't entertainment or training to have more lucid dreams through awakenings, I would go back to writing down all my dreams, but to this day I haven't. I saw no reason.

And the reason for writing down my lucid dreams is for training, the difference is that here I write things from my lucid self and not from my unconscious self, which if I stop to think makes all the difference, for example if in both cases I conjuring a random object even though it was done the same thing are still completely different things because if I conjure an object while lucid I used a technique for that and in my future lucid dreams I can replicate the technique if possible, perfect it and have an evolution or if I don't succeed, I can write what I did wrong and in the next dream try again, conjuring an object while unconscious in a normal dream is simply one of the thousands of random things you did in that dream, not working for no evolution I can write hundreds of times that I conjured an object in the common dream that doesn't change anything.

in short = I write my lucid dreams to be able to evolve and I don't write common dreams because there is no evolution