GMAT as SAT substitute

I entered College as a Test/Optional applicant earlier over the pandemic, but received a 780 on the GMAT. Given the nature of PE recruiting and the extensive filtration process, would not stating an SAT score to headhunters prevent me from being competitive despite a top percentile GMAT? I am entering a well regarded coverage group at a mid-BB, but want to be optimized for MF recruiting beforehand. Furthermore, my educational background is decent but not exceptional. I am at a T-25/30 range school and have maintained a 3.9 here.