Can't you achieve the same result by leaving only view logic in the component, and having the data-related logic, including the fact that data has changed in a way that may require redraw, handled in a separate object? Here's how I'd do it in Mithril/TSX:

    class WidthStore {
        width: stream.Stream<number>;
        constructor() {
            this.width = stream(window.innerWidth);
            window.addEventListener('resize', () => {
                this.width(window.innerWidth);
                m.redraw();
            });
        }
    }

    const widthStore: WidthStore = new WidthStore();

    class MyResponsiveComponent {
        view(vnode) {
            return <p>Window width is {widthStore.width()}</p>;
        }
    }