You don't really... Espresso makes highly concentrated brewed coffee that people consider to be closer to espresso.

The 'debate' is that any coffee pulled under pressure is technically espresso - but (real, read: not home machines) pull espresso shots at ~9 bar. Aeropress generates about 1.5 - 2 bars of pressure, and thus is... something between coffee and espresso. Most people have taken to calling it "Espresso style coffee" which is like calling Tofurky meat style tofu. WAT?

Anyway, most people (but not me) dilute their Aeropress coffee in water to make a Americano-style drink, so its not really comparable at this point to a true pour-over anyway.

All that said, I think aeropress makes quite good coffee - but its not a replacement for a pourover, and there's a lot more batch variation due to the lack of control in an aeropress.

Hope this helps!