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!
This "pourover renaissance" is very surprising - its how everyone "down here" does their coffee[1] for the last hundred years and, at least with my way of doing it, doesn't produce anything as flavorful as the Aeropress...
The filter is pricey for what it is, but it does have a lifetime warranty.
http://www.kaffeologie.com/shop/s-filter-for-aeropress-coffe...
On the other hand, it's more fun to make a pourover. Aeropress feels like a toy in comparison. Feels like not much skill is involved.
Aeropress is something between filter/pourover and french press. I think it produces better tasting coffee than both of these methods most of the time.
With the Aeropress I brew directly into the cup, then I move it over the garbage can and press the thing to throw away the compacted paper filter and coffee.
Then just rinse the Aeropress - which you could even skip if you're really lazy/green.