Congrats on lucid dream!
When you go to 'dream inside dream', it's just a scene change, but sometimes it goes crazy, yeah.
I had a bunch of experiences like that too, due to the fact that i seem to often have non-lucid dreams in my naps about attempting a WILD, and i actually manage to do WILD from a dream and become lucid(though it obviously counts as DILD), and even got fake sleep paralysis in that too once.