Apple Service Has Wrong Issue for Repair?

Hi all,

I've recently contacted Apple support to prepare my iPhone 7 Plus for a battery replacement. It went very smoothly, but afterward, I went to check the status of my order. My order states that my phone repair is due to the issue of a cracked/damaged screen, but I've got an email confirming that it was in fact due to battery performance issues (what I've reported and what I'm confident it is). Is this just a small error with no impact on my order? I'm very worried this could affect the cost of repairs—I've read that if Apple does not actually find a noticeable error with the phone (in this case, a damaged screen) the diagnostic fee is pretty high. Here are screenshots I have of the order in my e-mail and Apple support, respectively.

Any and all help is appreciated. Thank you!