Rose, who has just one top-10 finish in 2024, shot rounds of 66 and 68 on the 36-hole qualifying day to earn co-medallist honours with fellow Brit Dominic Clemons.
Two major champions highlighted a field of US Open hopefuls Monday in Dallas with one advancing via a 36-hole qualifier and the other falling just short.
With three final pars, McDowell finished with an even-par 70 for the day, a 12-under 278 for the week and the satisfaction that he’s still got what it takes to win on the European Tour.
Holywood’s low-key connection to McIlroy is an interesting contrast to Portrush, which has always been keen to bask in the success of its native sons.