Consistency is for the writer, not the audience.
Your audience doesn't care whether you publish on a daily, weekly, or monthly basis. What matters is the actual thing you bring to the table: education, entertainment, or emotions. Even if you take months to release quality content, people won't mind.
But delivering quality content is not innate. It takes years of work to understand the needs of an audience and address their problems with your own words. Writing well implies an apprenticeship: that's where consistency comes in.
Putting in the work and sharing the result, often. Learning from our mistakes and pushing for more, always. We can't do that if we don't stand firm through the long and harduous process: that's what consistency means.
It doesn't signify we should become stiff and never question our ways. Routine without flexibility is but the ruin of the creative soul.
Most top creators—the likes of PewDiePie, Seth Godin, Casey Neistat, or Honoré de Balzac—share this trait and went through periods of intense consistency. It's the norm, rather than the exception. If we want to achieve similar results, we need to develop similar habits.