Wolfram Engine does not include the notebook interface. It runs scripts and it has a command line REPL, like Python for instance.
From my point of view, Wolfram One to Mathematica is like Office 365 to Microsoft Suits (Office, Excel, ...) Let me know if i'm wrong.
I was under the impression that Wolfram One is a way to write and run Wolfram code without having to use Mathematica. Am I wrong? Is anyone at Wolfram listening?
What you describe is the free Wolfram Engine (V 12).
Thank you so much for your reply. I looked up the Wolfram Engine and I see that I was confused. A question that maybe you can answer: When using the Engine, is the notebook interface available locally, or only on the cloud. Thanks again.