No, it's not the same thing.
In EVE, the asteroid belts start regrowing after the next maintenance cycle. The resources always respawn, and always in the same place. Whether you collect them or someone else doesn't matter, it's a steady and endless supply of resources with a relatively short respawn timer. EVE's high-sec space doesn't have any ores of great value, but it has thousands of asteroid belts. None of them ever get very fat...
To keep things balanced, that high rate of ore supply must be countered with a high rate of asset destruction, otherwise the bottom will fall out of the ore market, and the economy will grind to a halt. In EVE, the average player doesn't build personal bases, cities or roads. There's no lavish mansions, no furniture and no "corporate boardrooms"... or bathrooms.
The vast bulk of EVE's daily mined ores go into military production, i.e. ships, modules and ammo.
In DU, infrastructure projects will soak up tons of ore. Entire space stations will have to be built from scratch, as will stargates and cities and personal bases. Additionally, we'll be selling ore to NQ's buy orders, which will be the only way of generating new money in the game. So DU will have many "ore sinks", which means the intensity of combat will probably be lower than in EVE, because military production won't be getting ALL the ore.