"A computer wrote it!" seems to be, based on the article, quite a simplification of how it was created.
If the end product is decent, I don't really care... or frankly see how it's all that different than the written-by-commitee corporate creations in film or TV, or the workshopped and workshopped and futzed and molded bland musicals that show up on stage. The romantic image of two nice Jewish boys sitting down at a piano and churning out songs and lyrics we adore is, by and large, gone when it comes to big-budget shows.
Computer programs are now more sophisticated- computer-composed music or visual art is progressing rapdidly.
"...everyone finally shut up, and the audience could enjoy the beginning of the Anatevka Pogram in peace."
If Android Lloyd Webber also cribs winning melodies from classical composers they could very well have the "hit musical" they're aiming for. I agree with Kad that it's not entirely clear how much input the computer programs had and how much had to be finessed by the creative team. It sounds rather like another historical fiction/based on a true story (sort of) musical.