Do you think it’s okay to correct other people’s child?

Well I have a 4 year old boy, and if my son did something wrong and I did not see it or he was wwith a sitter or familey, I would not mind them correcting him, as long as they did it in a good way, no spanking, or mean words, and if they told me as soon as they could. And I do not understand what you mean by a parent correcting a child for not having good manners, like if a chil burps, and the adult told the child to say excuse you, I would not mind if another adult told my child to say excuse you, as long as the adult did not say anything rude to my child like if the adult told my child, "Did your parents teach you any manners, well, they must not have, no one wants to be around a kid who has no manners" stuff like that, if the aduld said something like that, than yes it would bug me and I would go up to the other aduld and say something to them, like that I did not like the way they corrected my child, and that there are many ways to correct a child without puting them down, Hope this helps you some how.