Would a color based game run better than a texture based game?

I was just wondering,

I’m making a game for desktop platforms (PC, Mac, Linux) and I was wondering, is it safe to make a game using ONLY colored materials? This means using only shaders that accept a color attribute, and NOT a texture attribute.

How would that run? Compared to a texture based game? What are the downfalls or drawbacks of it?

It’s not something that has any real effect or anything to be concerned about; this isn’t 1990 where everything was done on a CPU running at 40MHz.

??? I’m pretty sure that’s not a problem! Nowadays you only need to worry about the number of faces/vertices but even then, most performance issues would be with inefficient scripting