Cross pollination wouldn't affect the shape. Only plants from the resultant seeds would be affected.

Definitely not a scorpion or jalapeno.... I second the Serano.

Can be any variety from the "Classic chili" Maybe it's the Cayenne pepper... or the Thai Chili pepper. Who knows, all I know is that's in no way, shape, or form a Scorpion. Unless if it got crossed with a serano... thus explaining the extra pointiness.

To clarify the last comment. The fruit shape would only be altered if the cross occurred in the previous generation.

IME, big box stores such as Home Depot often have mislabeled plants, though whether they came mislabeled from the grower or someone pulled out a tag to look at and then returned it to the wrong pot, I don’t know. If a specific type is important to you, either grow your own or buy from a reliable nursery. You can get your money back most likely if you still have the slip and are willing to sacrifice the plant, but probably not worth the time or gas money.

From the color and size of the chile, I will guess chilaca/chile negro

I've grown lots of different peppers and I would maybe say Long Hot Cayenne. Definitely not Serrano. They are more "stocky" and blunt-ended than what I see in the photo and not Jalapeno as they are even more stocky and blunt-ended.

Agreed. Neither a Scorpion nor Serrano.

This looks like the "regular" (for me) chili I'm used to, a Capsicum annuum variety.