I can't speak to the DMS/TREX systems, but for the ABAP systems, it's not usually necessary to update the kernel on the source system prior to the copy. It doesn't hurt, but you don't have to do it. You can copy directly into a system with an updated kernel. The exception would be if it's a major kernel change (such as 7.00 to 7.20), but a minor update (7.20 to 7.21, or either to 7.21-EXT) doesn't need much special done beyond replacing the kernel when the system is down. The target system can come up on the updated kernel immediately, so it's not a problem. You will see a lot of compiling of ABAP programs, but that's normal after a big kernel update.
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