What was important at that time was that the child be a recognized heir to the king and queen. Actual birth father is mostly irrelevant.
Perhaps if it had not become common knowledge it would have remained irrelevant. I think your argument has fallen flat and you should reconsider your opinion before further entrenching yourself.
https://en.wikipedia.org/wiki/Princess_Louise_Auguste_of_Den...
> Though officially regarded as the daughter of King Christian VII, it is widely accepted that her biological father was Johann Friedrich Struensee, the king’s royal physician and de facto regent of the country at the time of her birth.[1] She was referred to sometimes as "la petite Struensee"; this did not, however, have any effect on her position.[2]