I can now reproduce this, the missing piece was that for me at least, it only starts happening after a large transfer, i.e., after a fresh boot on my test server I start seeing the reads on all disks at around the 30% mark of a 30GB transfer, and it's easily reproducible after a reboot, with v6.6.6 I can complete the same transfer without the reads, so maybe this can help LT do the same.
P.S.: test server has 8GB of RAM, since the RAM amount can likely affect if/when this happens.