It ought to be. The movie is wonderful.
If one of the magazine's regular critics did a full-on review of it, I must have missed it.
I knew in a moment it was Kind Hearts and Coronets. Clever idea to make a musical out of it. 
Jeff, I looked for the New Yorker review, but I don't have an online subscription. Certainly Isherwood in the Times mentioned the connection; his review is very accurate (it's possible I never read a New Yorker review, actually, and was thinking of this one--I guess the New Yorker is better known for film reviews). As he notes, the musical is even more farcical. Jefferson Mays (who was astonishing in "I Am My Own Wife") has a wonderfully manic flair in the Alec Guinness role. Bryce Pinkham, who plays Monty, is pretty easy on the eyes, and has a lovely tenor voice.
I recall seeing the film as a kid. Perhaps, it's time to summon it on Netflix!