The dependence on the randomness of the map generator is still present, of course. That's why people quickly realized that starting with 0 resources is not ideal; you need at least 2500 to buy a second hero. This led to the creation of the Chaos patch for Shades of Darkness. The same was done in World of Xeen. And if you start with a bank, the balance of the resource distribution is approximately the same as on a 160% map.