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Rust dwellings were encountered less often than fairytale ones. And I didn't encounter any Azure dwellings at all.
Also, I never saw artifacts like the Sword of Armageddon and the Elixir of the Dragon, or certain buildings like the All-Seeing Eye, the Elemental Colony, the Factory of 4 Golems, the Gate-Garrison, or special types of terrain on random maps.
I mainly play on large maps without water and underground areas, and on medium maps without water but with underground areas. 4 enemies, difficulty 130%, monster strength is random.