It depends. The preamp gain, speaker and amplifier sensitivity all come into play. I have a 0.24mV cartridge playing through a 66 db gain SS phono stage, which used to be enough. Then I sold my ARC preamp and BAT amp and bought an VAC integrated amp.....now, it's not enough gain.
Same catridge, same phono stage and speakers, different results. When considering noise free listening, it's not just the cartridge and phono stage, but the entire system that comes into play.
Cheers,
John