It depends?
I.e. when I worked at a fairly large multinational (around 10k headcount), the only time I got promoted was when I explicitly started asking along the lines: "I like the sound of 'senior engineer', how do I get there?"
But there was a process. Maybe you don't have a process.
W.r.t. 'having your performance speak' I would suggest looking at it as 'building your case' rather than 'I am working a lot, right?'