Are you using any (like car liveries or season updates)?
Getting your name correct isn’t vanity — it’s about immersion. Crossing the finish line at Monaco and seeing your on the timing screen is the reward for conquering this annoying glitch. F1 2013 Name Change Fix
The most reliable way to fix the "Player One" name without external files is to ignore the prompt at the start of the game and change it later through the internal menus. Are you using any (like car liveries or season updates)