you can acheive lambda = 1 using just the base map if you are live mapping. that's the point.
production cars only have a lambda sensor and a closed loop function to take account of the fact that all engines are different so one base map would not be good enough for all production vehicles, and to take wear and sensor drift into account. and to reduce the amount of fine detail mapping needed by having a smaller map and using interpolation.
for your 1 weeks experience, i think that you're doing ok in that you have a running engine that hasn't melted yet.
however, i think that most of your success so far has come from a good base that was supplied to you based on your spec, rather than your ability to tweak this map to exactly suit your particular engine and make the most of it. as far as i can tell, you haven't yet fully grasped the concept of live mapping, which should be that you can tailor the fuel and ignition for your particular engine at all load and speed sites to get the most from it (whether your requirement is purely power, or a mixture of power, economy and reliability changes how you make the map).
and we haven't even touched on acceleration enrichments, adjustments for charge air temperature, altitude, coolant temperature, etc, etc.
but i haven't had any practical experience at all yet and seem to know more about it. perhaps the 3 years of research, reading and using trial software have achieved something, or perhaps i'm talking bollox.