OK, BIG UPDATE ON THIS SITUATION!!!!
It turns out these Eibach springs WILL work on the 2014+ Civics. The reason this whole issue came up is quite complicated. It has to do with a combination of these two things:
1. The spring part #s from Honda changed in 2014, but this was just due to a ride height change. Some manufacturers produced new springs due to this, while others just modified their ride height description.
2. 9th Gen Civics, unlike previous years, have a different spring wind for each spring. You can't just use a random front spring on any side you want, you need to use only the front left in the front left position. We just happened to have several customers with 2014+ Civics that supplied evidence showing the springs would not work. It turns out they both made the same mistake in not selecting the correct rear spring for the correct side.
I apologize for all the confusion on this!