Exactly. Chinese, Japanese, and Korean letters are all designed to fit in a square grid.
Movable type was invented in Korea 200 years before Gutenberg, and their version was much easier because they just had to plug letters into a square grid. When I was a kid, everyone learned to write on sheets of paper containing a 20x10 grid. Lengths of books and school essays in Korea are still frequently measured by the number of 20x10 sheets they would take up if printed on such a grid.
When your writing system is designed to fill a two-dimensional grid, whitespace is not only unnecessary but also potentially distracting. Chinese and Japanese don't even use spaces between words. (Korean does, at least in modern usage.) Leaving a large amount of space between lines would break up a block that should belong together.
Probably for the same reason, WYSIWYG editors here tend to insert <br> instead of <p> when you press the Enter key, Western semantics be damned. Extra space between paragraphs is implemented using two <br>'s instead of margins on the <p> tag. In other words, people see no need for vertical space that isn't an integer multiple of the height of a 1-em square.