Glad you had fun! Armageddon is the easiest scenario to win, yeah - the others crank up the difficulty quite a bit.
The physical game does use the same rules, though at launch it was a bit rough balance-wise. I'm trying to fix that in this release, and then backport any changes to the physical game once I'm happy with how it all works.
And of course the other way around - you can have a look at the print-and-play rules to get a decent feel for how the other scenarios change things up!