Uh, no, Reagan didn't.
I think you misunderstand the writer's intent. I don't believe they meant that Reagan sounded like or used the same speech patterns as does the Trumpster.
I believe he meant the Mr. Reagan "told it like it is"! Of course, he was a trained actor and could deliver one hell of a message in a very effective way.
Tho not trained as an actor, the Trumpster does indeed deliver one hell of a message. And the reason - IMHO - that he is so effective is that he speaks in the language most of the rest of us use. He also "calls 'em as he sees 'em"...just like Reagan did.
And if the hearer...or the target of the attack doesn't like it....they can go straight to he!!
In that regard....the Trumpster speaks exactly like Reagan.