The short version
Both are premium nasal dilators. Intake is external magnetic. Mute is internal polymer stent. Different mechanisms; different tolerability profiles.
When Intake Breathing is the right pick
If you want premium external magnetic dilation without internal insertion — Intake is the right shape. Comfortable from night one, lower annual cost, James Nestor-recommended.
When Mute Nasal Dilator is the right pick
If you tolerate internal devices and want the strongest mechanism with published clinical airflow studies — Mute is the right shape. Invisible externally, most direct mechanical dilation.