McIlroy had led from start to finish to beat Scott Stallings 3&1.
Fitzpatrick is the top seed in group 11 at Austin Country Club.
The Northern Irishman said he could choose to play it in PGA Tour tournaments even if not adopted on the US circuit.
The top seed takes on Tom Kim, Alex Noren and Davis Riley in group one this week.
Burns has posted just one top-10 finish so far this season
Scotland’s Ewen Ferguson finished in a five-way tie for third.
Moore carded a closing 67 at Innisbrook Resort’s Copperhead Course.
The R&A and USGA announced the proposal of a Model Local Rule to give tournament organisers an option to use balls which travel aroun...
The 87th Masters will be the first since the emergence of LIV Golf caused a rift in the men’s game.
Advances in fitness and golf equipment technology have seen players hit the ball further and further in recent years.