We have already discussed multiple times why Channel V was shut down (bcoz expenses incurred outweighed revenue) and even about Star World, Star World Premiere being closed so won't repeat.
Also just to let u know that Disney had planned to shut down Star World, SWP JD long back but due ongoing tussle about NTO 2.0 implementation same got delayed. Also ur point about these channels not airing popular content before shutdown is again invalid...all thru 2019 until about September 2021 Star World Premiere HD aired whole lot shows from HBO , 20th Century Studio, Showtime etc. and these included new season of many shows....also Star World also aired lot of new content in this period....had the long delay in NTO 2.0 implementation not happened then these channels would have shut down just as planned after airing popular content. Post September 2021 they would have stopped renewing TV broadcast rights of almost all shows and hence Koffee With Karan repeats became mainstay on these channels apart from Daily hollywood movies,,New Season of MasterChef US/Australia/Junior and some other shows being aired on Star World until sometime back