You got confuse because of other platform where people saying that Star Sports Production, ICC Production this and that
ICC produce only documentaries and ICC Cricket 360.
Star Sports produce matches for ICC. And all broadcasters around the world relays as it is. ICC always sets the standardization what exactly it should be, final call is always with ICC only.
So whether its ICC Website, StarSports.com, Hotstar.com, Ten Sports Pak, PTV Sports, Sky Sports, SuperSport................ will show the same production. Because tournament is of ICC so graphic will be like ICC from Star Sports or a company which having production rights.
Same happens with IPL, IMG Production holds the production rights and all around the World its relayed as usual. I am quite sure after 2017 everything goes to Star.
Same with India host match, BCCI produce matches of themselves and its relayed as usual all around the World.
Same with SL, WI host matches as Ten Sports produce matches for the board, SuperSport produce matches for SA and Zim's home matches. SkySport NZ produce matches for NZ board.
Only Star Sports who push themselves for India's tour match of Aus and Eng. Otherwise Channel 9 and Sky Sports holds the rights of Production for resp. Board.