Quote: Then in 1/2018 I flew from Philadelphia to Orlando. On the morning of the flight I received an email that the United flight has been canceled due to mechanical error and I was rebooked onto an American flight. (AA is not a member of Star Alliance ...) ..
If crediting miles to ANA AMC was so important to you, why did you accept a rebooking to a non-alliance flight?
Quote: I will reach ANA's Super Flyers Club this year
This means you are a frequent flyer, implying you should know the AMC rules quoted by other posters above.
Sorry for your bad luck here. I was in a similar situation, upgraded an economy ticket on another airline, then got rerouted & rebooked in a business class upgrade fare that caused me to lose the original flight/route credit. ANA was adamant (like in your case) that I did not take the original flight, so i will not get credit.
Learn, accept, and move on..