Not sure I can call it a 'monologue'. It isn't put into words until I want to examine it - most of the time e.g. cooking I just chop and look at the pot and consider.
I surely don't talk to myself about it - "Looks like two more minutes on the ham". I just reset the timer to 2 minutes and press start.
So, I'm not sure "inner monologue" means anything? Ask me what I was thinking about, I can fire up the old 'text generator' and emit something descriptive. But I also don't think about that - "First an adjective, then a noun, maybe a verb and an adverb or two. Then what, three or four sentences?"
No we just do most of our thinking without talking about it.