Ive been seeing this too, Exactly. We thought we may have been hijacking our own influence somehow, which led to some conversation with our Squad. The BGS is broken, and does not seem to be working like it has been described by the community or the dev team.
The bounty rebalance increased bounty payouts by 4-10x but appeared not to change the BGS influence for individual bounties compared with the old scheme. (So a bounty of 100k would have had effect X before, and a bounty reported on the kill message as 100k would still have effect X now, though you'd get paid about 500k for it)
However, total bounty payouts in systems appear to be about 10x higher. So that suggests more people are bounty hunting, which means more bounties are being handed in, and if people are using KWS this will tend to be an equalising force on influence by providing a substantial bounty volume to low-influence factions (even more so if there are superpower factions present).
"Other players exist" is not a flaw in the BGS or understanding ... though it's certainly looking like the recent bounty rebalance has changed "average" player behaviour enough to generate significant effects in certain systems with higher player traffic levels.
If you want to prove that community understanding / dev statements are wrong, do a clean experiment:
- find a system with no activity: no traffic, crimes or bounties reported in the local news, and no influence change for a few days - plenty of them around the edge of the bubble
- do some bounty hunting in that system (without a KWS, so you only pick up bounties for the controlling faction)
- see what effect it has on influence (the controlling faction should go up, by a predictable amount)
If the result is "influence of the controlling faction goes down" despite you only handing in their bounties, and traffic, crimes and bounties reports only contining your own activity ... then that's unprecedented. Present the details for consideration.
"I did X but my faction's influence went down" is so easily explained away by "other players did some work for other factions as well" that no-one is going to want to throw away all the current models without results which can't be explained by that.