He is trying to say that and technically he would be right, though I don't know if anyone from Salman's team ever claimed Eid as theirs. However, putting it in those words comes across as very arrogant and sort of bitter and angry.
Sounds like Adi and Salman are doing to him what he did to SLB. He was confident that he would beat SLB and this time he sounds almost sure that he will lose if he doesn't avoid the clash. Issue here is he still wants to win the Eid date but Adi is not SLB and he cannot bully his way into what he wants.
As for saying there are never ego issues ... Please!! Everything about Dilwale was your ego.