People who are challenged by others will often accuse these latter of projecting their own issues and insecurities, not to say value systems, onto them.
While I agree that some project themselves more than others, being less aware of the difference in sensibility that lies between them and the person they're challenging, it could be asked the extent to which the habit of projection can be completely eliminated.
Indeed even the most empathetic person, i.e. the most aware of the difference in angle that lies between them and others, might still project somewhat in so far as
"it takes one to know one"and we always bring ourselves into how we perceive things, including other people, for to be completely objective is arguably impossible when it comes to psychological evaluation.
For no one is God and no one is omniscient (apart obviously from creative writers who do know their characters precisely for who they are).
This gives rise to the question of whether it is a good idea to challenge and judge others since never completely free of projecting ourselves in our challenges and judgements.
Conversely compliments to other people may still be based on projections of ourselves, whether because we feel lesser than they are or simply admire qualities in them we like or would like to have in ourselves.