DRAM and sustained write speed aren't quite the same issue. Some DRAMless NVMe drives support Host Memory Buffer, or HMB, which lets them use a small amount of system memory for drive management data. That helps compensate for the lack of onboard DRAM, but it doesn't turn system RAM into a big write cache.
Long writes can slow down after a drive's fast write cache fills. The amount of slowdown depends on the NAND, controller, capacity and how full the drive is, not just whether it has DRAM. If you move big video files or game libraries, look for sustained write tests and check how the drive performs when partly full. A DRAM-equipped drive isn't automatically immune to a slowdown either.
4th.wall.maybe:
Transfer speed also depends on the other drive. A faster destination won't necessarily help much if the source is the bottleneck.