Here are my comments on the topic and posts in this thread.
- Increasing ISO will decrease noise when keeping the exposure (shutter speed, aperture, and scene light) invariant.
- We are talking about ISO invariant ranges where ISO change does not significantly change the noise. Many modern sensors have an ISO invariant range above the dual conversion gain point, but many older sensors are not ISO invariant. PhotonsToPhotos publishes shadow improvement charts that document the ISO invariant ranges.
- The noise, and thus IQ, is determined by the exposure, not ISO. However, rising ISO decreases the maximum possible exposure. Shooting at base ISO allows for maximum possible exposure and, therefore, the least noise.
- ISO setting does not change sensor sensitivity.
- When ISO is within the ISO invariant range, we can keep ISO lower and the image darker without compromising IQ (OP’s question). However, if the sensor is not ISO invariant, keeping the ISO lower than possible (without increasing the exposure) will produce more noise.