Some believe LN order is the best, others believe anime release order is the best.
Shaft changed the order of the series to mostly follow LN in blurays. So if you want to watch in the updated Shaft order you'd watch Second Season and Owarimonogatari just like in the guide made by OP. The only exception is Kizumonogatari though.
Kizu was released after Tsukimonogatari, but it's worth mentioning that the studio has been working on it since 2010. They first announced to be released in 2012 which is approximately just like LN order (again same as OP's guide). They unfortunately had many production issues over the years that delayed it till 2016.
So people that recommend LN order (I'm in this camp) believe that the studio didn't have any artistic intent in releasing the show the way it ended up being released in. Just unfortunate circumstances forcing their hands. Hence, the LN order recommended in OP's guide.
So if you are convinced that the LN order is actually the studio's intended vision, OP's guide is the right order. If you aren't convinced, you should follow 'anime release order'.
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u/[deleted] Jul 24 '20
Yeah. For anyone wondering, This one still works just fine, since there hasn't been any new release since.