Internal DVD optical drive-Will back up from newer machine destroy functionality
I have a MacBook Pro (mid-2012) with an internal DVD/cd optical drive (32 bit) using Mojave OS. I also have an iMac 2017 with an external Apple Superdrive (64 bit) using Mojave OS. Both computers work fine. I would like to use the Time Machine backup of the iMac to restore my MacBook Pro so that it has all of my photos and ITunes and files on it in the exact same setup as they are on the iMac. My question is this: Since the iMac has an external Superdrive (64 bit software) and the MacBook has an internal DVD drive, (32 bit software), would using the iMac backup to restore the MacBook Pro cause the MacBook Pro internal DVD drive to stop working because it would not have the correct software anymore? If that is the case, is there a way to download the original Apple Internal DVD drive software onto the MacBook Pro once I have restored it using the iMac? My goal here is to not destroy the functionality of my internal DVD drive on the MacBook Pro as the Superdrive will not work with Apple products that have a native internal DVD drive. Any advice would be much appreciated.
MacBook Pro 15", macOS 10.14