Pure democracy as you describe it, even if technically feasible, would still result in tyrannies and terrible outcomes. The biggest problem isn't lack of influence on the laws, it's lack of knowledge, reason, understanding and empathy. And that problem exists whether it's x number of people influencing the outcome, or 1,000,000x. Every negative influence that politicians are open to, the masses are also open to (though scale may vary e.g. wrt corruption). The overwhelming evidence across the globe is that people are easily fooled, easily misled, easily manipulated, prone to illogic, prone to responding emotively, prone to selfishness, and can be corruptible, destructive and suicidal. They routinely will sacrifice advances to their own cause in order to exclude, punish and exorcise others.
No, technically direct democracy would lead to no better outcome, though I'm sure at some point in our history we'll try it.