The views we hold of other people (and the views that other people hold of you) are heavily, heavily influenced by past experiences and projection.
I've had my views of people radically change when I released some piece of projection and evolved the way I viewed the world.
Viewed through a one-directional lens ("my view is solid and yours is projection"), this statement can be narcissistic, gaslighting, and not aligned with reality.
But, we don't live in a one-directional world.
Viewed as a two way street (we are both human and both project and are both responsible for navigating that and catching ourselves when we do it) it simply highlights a truth of the human condition.
It goes both ways. I am responsible for following my own truth - not playing some role that someone expects of me based on their experiences and projections.
You are also responsible for following your own truth - not playing into whatever stories or projections I may have of you.
Sometimes those things align.
Sometimes they don't.
Sometimes they look like they do, and they super don't, and there be dragons.
If we've made some specific agreement, that's a different story - but even then, two people can agree on the same words with wildly different stories attached to them.