Yeah TV Broadcaster like Disney Star and Times sign output deal with major hollywood studios, which movies rights rotating 9/18 months once Sony to Disney/Times again Sony. but in digital their business strategy different like Netflix and Amazon renew same exclusive Disney's UTV/20th Century Studios titles catalog again and again from last 5 years.Bro, already Disney-Star has ongoing hindi Dubbed/English Hollywood Movies output deal with both Paramount Pictures and Warner Bros Discovery for their Hindi/English Movie Channels so therebis no such rivalry at play...previously even Universal Pictures had such movie output agreement with Disney-Star
As such Paramount is now a minority shareholder in Viacom18 while Warner Bros Discovery only has content agreement with Jio Cinema and they do not have any stake in Viacom18, even the previously held partnership between Viacom-CBS (Paramount) and Warner Bros for their TV Channel CW in USA now is nearing end
Content Syndication mostly works independent of corporate rivalry barring very few exceptions hence u can see almost all studios apart from tying up with their Parent Company owned TV/OTT Network in India , they have agreements with their rival channels/networks in India to expand revenue generation