Do you think differently in LDs?

I've had a fair share of lucid dreams by now and I've noticed this. In lucid dreams, especially the very vivid ones where I am very aware, i feel like my mind tends to work differently than when I am awake, and I come up with things that I don't know how I could have ever come up with. It is difficult to explain. I've noticed that it feels different to think in a lucid dream, like ideas flow easier and your mind is clear and creative.

Does anyone else feel this way? You could try this if you haven't. Think of some problem and try to find a solution, or anything really.

Just the sunday, I played out a musical for three dreams straight; trying that in waking would be disastrous in the best scenario. So yeah, it is without doubt easier to think in a lucid than it is in waking for me; but after doing that now it feels easier in waking too so eh, maybe its just we aren't as afraid/block ourselves/stuff?

Once I thought about something insanely difficult in a dream. It was a strategy to keep my stuff safe. When I woke up and tried to rebuild that plan I got headache from it. Also, I can compose mussic in dreams without even thinking at it. But other things are a lot harder for me to think about dreams. For example I fail at pretty simple math tasks in dreams. Like the one time, where I had to calculate how much money we need when we want to buy 112 Big Macs
if one costs 2.50€. I came on an number like 50 or so...

In my case, I become stupid in LD. I am always in hurry because I am afraid it ends before I benefit from these lucid times during dreaming. Sometimes I feel bored in LD and I return back to normal sleeping because of a heavy thought process during LD. I actually feel that everything in LD is from my own thoughts so my brain feels fatigue if I spend a lot of times there. Sometimes the dream scenes change so fast that I can't think and organize my next decision in LD.

I am kind of stupid in lucid dreams.
For example, I once tried to stabilize the dream by stretching my arms and spinning, and for some reason it was very important to do this in the corner of a room, and I kept hitting the walls.
It never occurred to me that maybe I should go somewhere with a little more space?

I know certain things instinctively when I am lucid sometimes. Almost always a specific dream character of mine has to be present, but some things I just know. Things like the 'storyline' the dream is supposed to follow and such.