Most people who attempt this effect don't have a reference CRT. They don't realize that the scan lines bleed and become fuzzy on the screen and are not perfect lines like the shader makes.
Minor point: don't have a common consumer grade TV of that era for reference. Actual "reference grade" CRTs of the time (such as the Sony PVM series) look almost as crisp as the perfect lines of modern retro-emulation.
Since the video game developers of that era certainly had access to reference CRTs while building games, you’re experiencing something closer to how it was originally intended to be seen.