The problem with the review is that it doesn't quite back up the assertion of how the reviewer finds it "still just a little out of style". Soloski links the quote to a NYT's article focusing on Robert Brustein's criticism of the play during its premiere and references Brustein's opinion that the play didn't address the "disarray" of US cities. It's actually Brustein's criticism and cultural stewardship of the American theater that has suffered a far greater loss of fashion and relevance than Miller's plays.
I also don't agree that the play ends as it began. We've seen a morality play in which the characters are blends of biblical forces with human beings and by the play's end the force of despair has lost to the force that believes in love no matter how illusory that belief might be.