Actually, they are not the same.

The SAFe Product Owner is solely responsible for the execution. While LeSS, the Product Owner is responsible for the ROI.

From LeSS, I got the following:

"A LeSS Product Owner focuses on thinking hard about prioritization but collaborates with the teams on clarification. Further, she encourages and helps the teams enter into a direct conversation with true users and customers for clarification. She acts as a connector, not an intermediary."

LeSS is still agile in my opinon, while SAFe isn't.