The white cast isn't your problem. It's the industry's.

Most Korean sunscreens you love are chemical filters. There are also thin invisible SPF films you apply to the cheeks, available in Korea and sometimes on Amazon, that Korean women use on golf trips and that sit beautifully under makeup. For beach days, add physical protection like a hat and shade. And most physical sunscreens were never formulated for deeper skin tones, so the white cast is a formulation gap, not a user error.