Not really cause the function isn't the same. A red light means stop indefinitely until the light stops being red, a stop sign is more of a stop and then go. I do admit my wording was rather poor, tho.

In my country the Red Light is a predicable function of the road, so turning right on red is fundamentally removing part of the function of the red light. I know crossings in some countries are...weird, but here, if you see the light turning red and are immediately in front of the stopped traffic, you can cross it to the median cause no traffic is going to cross it. A right on red remove this predicability, and even if you absolutely need to have this function, you can just add another traffic light that controls that lane.

This was my thought as well

Not without stopping.

Here in Finland, red light also does mean you shall not pass the main indicator. Right on red feels like a useful innovation sometimes, but it would complicate a brilliantly simple law.