I think (most of) the common projections are rather good, I think Mercator is still one of the best (the poles are a problem, but they are close to unusable anyway).
Map projection theory is not really the core of the subject we are discussing, but rather the nature of the grid plot system, which I feel makes everything too "jagged" (jagged mountain ranges, costs line, and biome borders), which is why I don't interpret one plot as representing a strict size and shape of space taken directly from the idea that the game map represent.
With the current movement points you would simulate snails, not humans.
True, if the game operated at such a map resolution (trillions of plots) the entire game would have to be changed, unless we wanted units to have hundreds of movement points one would have to change tech inventing to take millions of turns and each turn would have to represent something closer to one hour.
I'm glad the game map is operating at a low resolution (high level of abstraction) like every good strategy game should.
The example I used was perhaps a bad attempt at proving a point, as some implications of the example could act distracting.
That's actually a rather good transformation IMO, although the desert plots might be a bit large (turning the Sahara almost into a non-problem even with terrain damage).
That unambitious drawing doesn't really do the grid warping I imagine justice, but it is close enough to give others an idea about what I mean.
About the size of Sahara, that's a question about map size. I'm not really sure where in Libya that the Sahara begins, and where it ends in the south, but it should be at least 6 plots vertically if you extrapolate the illustration I made further south.
I haven't actually seen the movie myself (I have read a warning about the little girl, played by an excellent actress, being incredibly annoying), but -
are you serious? So these earthbound monsters are defeated by the common cold, coming from earth?

They take the one weak point of the novel (spacefaring aliens without NBC defense - which was completely unknown in 1898 and not at all the author's fault) and
make it worse?
It's a long time since I saw the movie, so they may have been tied to Mars in one way or another. I mostly remember that the movie was real inconsistent with the original novel in ways that I found poorly justified, I left the cinema theater quite dissatisfied.
I don't agree that the weakness you mentioned in the novel is completely reasonable to call a weakness.
The novel describes the aliens as beings similar to humans, that long ago (not specified but a couple of thousands of years might be reasonable) once lived on the surface of Mars, but that they were forced to move deep underground around the cataclysm when their atmosphere deteriorated. During their time underground they evolved rapidly into something else (read the book for more details). The aliens probably never achieved space travel until they actually invaded earth by shooting a couple dozen pods with no navigational systems that probably slingshot around mars moons toward earth.
They had probably observed earth for a couple hundred years while living underground without invading, which suggest that they neither had the technology nor the resource capacity to do so until they suddenly was forced to execute their plan which had been in the works for decades. It is described that the invasion was a last ditch attempt for their species to survive ( they had very short time left on Mars before going extinct, I don't really remember the reason, 16 years since I read the book, but it might have been connected to resource shortage, breakdown of civilization and maybe even a cooling Mars core was mentioned ) and that they, even though they had a huge brain, and was supposedly real geniuses at math, no good premise to understand and properly prepare for all the obstacles they may meet during the invasion (not enough empiric and experimental data).
The pods contained something like 5-10 aliens, some war- and work- machines, and what they needed to set up a makeshift factory/lab/outpost in the crater they landed in. They did have equipment that protected them, all things considered, very well against the environment. They were described to have issues with breathing the air on earth and needed to stay inside their protective gear and machines until they had made some serious terraforming of the plant life on earth, they had special plant life with them that produced a certain gas that was essential to them. It was not before they in late stages of the invasion that they started to get careless.
There are many weak point in the novel if we look at it with todays common knowledge though, e.g. The pods traveled from Mars to Earth in just a couple of days, Wells (the author) probably had no idea how far away Mars really was.
To me that book will always represent a truly impressive work of sci-fi storytelling.
Edit: Perhaps we should end this friendly conversation now, considering this is the bug reporting thread and all, it's a "bit" off-topic.