Update: Searching for iPhone 6S instead of 6 on Amazon, I see lots of replacement screens with connectors that look a lot more like what I have and what's shown in the picture above. (One connector has a horizontal orientation, the other is vertical. I can't be sure whether the pins or dimensions match otherwise.) Any wisdom here?
I'm with Andrew Midgett. The connectors are just plain different in size and orientation. My phone matches what's shown in the picture above. You can see an example of the replacement part if you search Amazon for "Sanka LCD Touch Screen Digitizer Frame Assembly Full Set Screen Replacement for iPhone 6". And Sanka isn't the only iPhone 6 replacement that looks like that, so no hating on that manufacturer here.
Does this mean that some iPhone 6 phones have one set of connectors and some have a different set? FWIW, the model on the back of my phone says A1549.