You do what you want. But wiping with a towel does not dry it completely. If you think it does then wipe it off and put it away. You will find no rust. But oil it and put it away. You will trap moisture. That is why we suggest to leave open and air dry. After a few hours it’s good. Fact.
Why are you oiling anyway? If you want to throw science at it you will find that yes we are giving the correct advice. But that’s all t is based n several hundred years of experience. Hell why not store your razors in a barrel of oil in a vacuum sealed chamber