Stroke order is less important than you might think, and than what most learning materials make it out to be. But an idea on the general order is crucial to writing fast, and also, quick writing that does not follow either (1) the standardized word order or (2) a traditional word order can look weird to native eyes.
Note that when the PRC standardized its stroke order, it ended up with stroke orders that differed from calligraphic tradition: most notably 右 and 必. In addition, different calligraphic styles and regional variations sometimes have different character variants and different stroke orders.
In short, whereas there are a few mainstream ways to write words in Chinese, just like how there are a few mainstream ways to handwrite disconnected Latin letters, there are many variations that one is expected to be able to recognize, just as how one is expected to recognize a wide variety of Latin letterforms (copperplate, Palmer, blackletter, closed vs. open a/g, etc.)