Here's the thing. Intel removed the hardware backwards-compatibility with the USB ports with USB2.0/EHCI. The chipset-integrated USB ports on Skylake and Kaby Lake are all XHCI (USB3.0), even the ports that are physically USB2.0. They still need USB3.0 drivers to function. (Whacked, I know!)
Windows 7's installer, unless you inject USB3.0 drivers into the install and boot WIM images, will only support up to USB2.0/EHCI.
Now, if your motherboard uses a 3rd-party USB controller chipset, then it may well be providing USB2.0/EHCI ports. Which would in fact work with Windows 7.
One way to test if that's the case, is to plug in a USB flash drive into one of those ports, before installing the Intel USB3.0 drivers. If it works, then my theory is wrong, and you do in fact have "real" USB2.0 (EHCI) ports on your board.
Edit: And as far as I know, PS/2 port emulation works regardless of which chipset-based USB port you use to plug in your keyboard and mouse. The UEFI translates between the XHCI USB controller, and uses System Management Mode on the processor, to make it look to the OS software, like someone is using a PS/2 Keyboard and Mouse.