Hi idof
CMSIS-Driver is ARM MDK Middleware.CMSIS-Driver is designed for multi semiconductor company products. NXP is one of the vendor
https://www.keil.arm.com/devices
If user has requirement to port the code to other semiconductor device, using CMSIS driver would be easier.But please note, There are not many CMSIS demo released so far.
“ standard peripheral driver" are produced and mantained by NXP.
Hope this will help you.
Jun Zhang