I feel you on the "go with the flow" aspect - I feel like some of my lucid dreams were "half lucid" because I figured it out, but didn't really care to do anything with the knowledge and just played along with it. When it's not a personal kinda dream it's just fun in its own way. I've woken up before from becoming lucid too.
I think funnily enough the first time I lucid dreamt as a teen I did try to play God with controlling the dream more (at first I attempted flight if I remember! Which was nice, until The Horrors started). Some other people also have this sleep paralysis experience when they first go lucid too, it's fascinating I'm with you in that I'm not sure how much that is within your control really, but I haven't looked into this stuff since I was a teen and I am kinda curious...
As for your questions, I wish I could remember more, as I have the vague feeling the answer is "yes" to both - but I didn't write the dreams down if so so I only have the faint kinda feeling I've experienced that but the dream memories are massively blurry as to what it was about. Alas, I'd love to give a proper answer lol...
Looking at the lucid dreaming sub, I noticed someone mentioning utilising lucid dreaming for help with PTSD nightmares - I do recall *one* instance of taking control in order to fend off traumatic elements which was neat :]
Funnily enough though, I don't feel such a huge compulsion to actively seek lucid dreaming out. My dreams are generally vivid and wild, it'll come naturally eventually anyway - I like seeing what scenarios my subconscious comes up with without interferring, most of the time. Some people like deliberately meeting people from their past that way etc, but having me artificially induce that would feel 'off' to me... but that's just a personal hangup.
According to this study about 55% of the population have experienced at least one lucid dream in their lifetime, though I wonder if other followup studies have been done...