For these two were old friends, old mates both at school and college, both thorough respecters of themselves and each other.. (Robert Louis Stevenson).
If you say that someone or something is no respecter of a rule or tradition, you mean that the rule or tradition is not important to them. Accidents and sudden illnesses are no respecters of age
If you say that someone is a respecter of something such as a belief or idea, you mean that they behave in a way which shows that they have a high opinion of it. Ford was a respecter of proprieties and liked to see things done properly