My favourite "productivity app" is not an app at all. It's a plain old notebook. I write down any notes and actions I need to take, and strike through them once finished. It has a nice benefit that I can scribble notes, draw lines between ideas, sketch out diagrams, etc.
I'd agree with you, but the killer feature digital notes have, for me, is the quick and effortless searching.
For tasks, this might be the plan for the next few days, where everything fits on the same page.
For notes, those might be scribbles to help solve the problem at hand.
Larger and more long term things start benefitting from searchability indeed.