Are you even getting my point? Am I saying they are not powerful or not popular? Did I say they are covering identity!?
All I said was that as they (as 'Discovery') are already popular in India and DSport isn't very popular, they are adapting Discovery logo into DSport to let more people know about it and increase the viewership of DSport.
Regarding usage of 'star' element and the relation with Discovery:
Discovery runs Eurosport channel and this is the logo used:
As they brought the franchise to India, they thought it wouldn't be a good call to name it 'Euro'Sport and called it 'D'Sport but adapted the same logo. Eurosport logo has the 'star' element and Dsport carried it too. It has nothing to do with 'imitating' Star channels.