This week, the 31-year-old was in Rochester, New York, with 15 other LIV Golf players for the PGA Championship.
Gooch was on a hot streak coming into this week's tournament, being played at Oak Hill Country Club, after winning back-to-back LIV events just a few weeks ago.
However, Hadwin was the only of the three who was able to navigate the gruelling conditions at the Upstate New York course.
The two Americans, Gooch and Kuchar, both missed the cut, with the LIV star struggling to a 10-over par after rounds of 76 and 74.
This week presented a shot for Gooch to qualify for the US Open in June, which he recently discovered he was not exempt into already due to a rule change for 2023.
Though Gooch had qualified for the previous season's Tour Championship, he could not play in it due to joining LIV Golf.
The new rule, implemented by the USGA, stated that you needed to both qualify and be eligible to play in the season-ending tournament.
According to the popular No Laying Up's Kevin Van Valkenburg, Gooch has decided not to enter US Open qualifying this year, making it all but certain that he will not be playing in the season's third major.
However, despite the result this week and what it means for his major season, Van Valkenburg said that Gooch appeared to be in "good spirits" following his missed cut.
Gooch told him:
He also said his reasoning for not entering US Open qualifying was due to a busy schedule.
I asked him why he decided not to enter U.S. Open qualifying. He said he felt like his schedule was so busy coming up, it wasn't feasible. Figured if the US Open didn't think he should get in on ranking points, he'd focus on other stuff like the Open Championship, which he's in.— Kevin Van Valkenburg (@KVanValkenburg) May 19, 2023
Gooch was one of five LIV players who missed the cut at Oak Hill Country Club. Their series will return next week with an event in Washington, DC.