The derived order rule is an attempt by a retail customer to create liquidity. So back when everybody was 10 up - you would better a bid by a tick on a one lot - it would show 10 up and then you would hit the bid from another account. Sort of gaming the price. OP says this is multiple-list product and thin. I'm somewhat surprised this is a multiple list but thin and wide. It is the same concept across multiple trading venues. Improve one and in some cases, the other venues - can be linkage related to keep them in the NBBO - will improve to match. If they are the destination for a smart router they may need to improve to satisfy their router deal and not ship it over linkage. It costs to ship. Then hit the improved quote from a second account. Generally done in the deeps and cheaps as those are most likely to drive off an algo. If it's an option in a dark liquidity program - all the better.
There is more granularity in the mechanics.
There is more granularity in the mechanics.
So if it is not "derived sale activity," what else could it be?