Do you leave your "signature" on every design you do?

We all know that, typically, designers have a signature style that sets their work apart from others. However, it's also important to be adaptable and adjust to the client's needs and the project's requirements. Sometimes, it's better to step outside of one's signature style to create a design that better serves the client's goals. What do you think about leaving a "signature" on every design? Do you believe it's important for designers to have a consistent style, or should they focus more on tailoring their work to fit each individual project?