How is this different from Star Map? Star Map draws lines: it shows exactly where your planetary lines cross the world, and you can ask about any place. Life Atlas draws no lines. It colors the world, showing which theme stands out for you in each country. One is technical, the other is intuitive. Both come from the same calculation.
"The best place": best according to whom? According to you alone. There's no "most romantic country in the world", only "the strongest place for love in your chart". The ranking comes from the real distance in kilometers between a place and the planetary lines of your birth moment. It's never compared with anyone else's list.
Why do some countries stay gray? Because no line from your chart passes through them. Gray is a valid answer. We don't fill the gap by saying "there's a certain energy here too". Most of the world lies outside the reach of any line. That isn't bad news; it simply means the place is neutral for you.
Are the hatched places bad? No. Hatching doesn't say "avoid". It says "this asks for effort". In astrocartography a place can be strong and demanding at once: it gives a great deal and wants something back. Hiding that would do you no favors. The place you're thinking of moving to is often exactly this one.
Why is there always a city next to the country name? Because what's true is not the whole of France but one part of it. A line cuts through a country in a narrow north–south band: an influence that's strong in Nice can be absent in Brest. Naming only the country would be easier, but wrong. That's why your atlas says "around Nice in France", never just "France".
I don't know my birth time. Can I still get an atlas? This atlas needs your birth time. What a place means for you depends on the minute: a 4-minute difference shifts the whole map by a degree of longitude. Without it the calculation can't be done. Your birth certificate will have it. A few minutes off is fine.