No, not "just the testimony" - the jury was provided with a mountain of evidence over the five weeks before Trump's fixer testified to his part in the conspiracy, so the veracity of the facts and his part had already been established before Cohen said a word.
What you guys keep missing is, had Michael Cohen been removed entirely from the proceedings, Trump still have been convicted because we heard directly from others he approached to commit the original crime.
Functionaries in the White House and Trump Tower who unwittingly facilitated the crimes, lawyers on both sides of the negotiations, even the porn star he paid off when his promises of helping her career were as short-lived as his stamina in the sack - they all provided the exact same evidence because they were all witness to what he did.