What Martin brings up is sort of my point in starting this. Steven mentioned that Dave's way is the "correct" way, and yet it's definitely a much different technique than that taught by Rippetoe (closer to the "standard" BP that Tate hates). As I'm interested in overall strength, I'm not concerned with looking more impressive at the gym or making a better PL total, as Tate seems to be suggesting is the primary motivation in the article.
It's noteworthy as well that the form Tate teaches in the video I linked and the one in Allen's article from him are not the same, which just adds to the confusion. I'm definitely concerned with keeping my shoulders healthy. Overall, I really just feel like Tate's technique is so different that it's practically a different exercise; it's closer to a decline BP than a flat BP.
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