"In terms of the impact on our business, it has made zero impact. If anything, our business has gotten stronger since their announcement."

In a wide-ranging interview with CNBC at the Web Summit conference in Lisbon, Hale discussed Oura's plans for new areas of insight it wants to give users, how he is thinking about new devices and the company's intentions for international expansion.

Oura's flagship product is the Oura Ring 4, a device known as a smart ring. It is packed with sensors that can track some health metrics, allowing Oura app users to learn more about the quality of their sleep or how ready they are to tackle the day ahead.