Prosecutors probe whether Giuliani was drunk when advising Trump. Does it even matter?

The New York Times and other outlets are reporting that federal prosecutors are taking a very close look at Rudy Giuliani's alleged drinking problems as they seek to prosecute Donald Trump for his illegal acts to nullify his 2020 presidential election loss. From the Times:

The office of the special counsel, Jack Smith, has questioned witnesses about Mr. Giuliani’s alcohol consumption as he was advising Mr. Trump, including on election night, according to a person familiar with the matter. Mr. Smith’s investigators have also asked about Mr. Trump’s level of awareness of his lawyer’s drinking as they worked to overturn the election and prevent Joseph R. Biden Jr. from being certified as the 2020 winner at almost any cost.

Whether Giuliani was notably, speech-slurringly drunk during the times he was offering advice to Trump on how to contest the election's outcome may go a long way in scrubbing out Trump's claims that he was only acting on the advice of counsel when he undertook those illegal acts. If Trump was aware that his alleged lawyer was Barney Gumble drunk during the conversations where Rudy was pushing bizarre election conspiracy theories and offering, the pair now claims, attorney-client advice on how to pursue them, then Trump could hardly claim he was a naive victim blindly following that advice. It would show that Trump ought to have understood from the beginning that he was listening to the ramblings of an impaired man.