No, text on a dial is just print. On no watch does it prove that this exact movement passed a test.
What Rolex means by Superlative Chronometer: after the COSC certification of the movement, Rolex tests the cased watch again in its own labs. The tolerance is then −2/+2 seconds a day, and power reserve, water resistance and self-winding are tested as well. The green seal goes with it. According to Rolex, further criteria were added in 2026, including on resistance to magnetic fields.
Which Rolex reference has which calibre is in Rolex calibres 3230, 3235, 3285, 3255 and 4131.