I know you're right on FW. I believe DMA was designed in because they recognized that the CPUs of the time weren't powerful enough to move uncompressed full-resolution video from around. I don't know about Thunderbolt, but I'd expect you're right.
IIRC DMA was designed to allow peripherals (floppy drives, parallell ports, etc.) to move data from their input lines to regular memory without having to bother the CPU. Uncompressed, full resolution video wasn't too much of a real concern back in the days of the 80286 :-)