Have you tried lowering increasing the percentage value like
x -> lerp( Self.X, Player.X, 100 * dt )
y -> lerp( Self.Y, Player.Y, 100 * dt )
Then it will stay really tight yet it might be enough to not jitter.
Tried this, though the camera is super snappy on startup, and the jittering still occurs.
https://www.construct.net/en/game-assets/game-templates/pixel-perfect-resolution-554
This is exactly what I'd like to happen in my demo. Unfortunately, given my interests I don't think I'll be able to sink so much money into just a demo.