I've taken the liberty of revamping your figures slightly to highlight the relationships between events:
On 27th Feb gained influence from outside the conflict and again on the 29th - apparently mainly from Allied PLC. On the 1st March both OoM and Crimson Electronics acquired points from Allied and we have to assume that others were supporting CE on that day - this supports Fdevs statement in the bug report.
During the overlap of the two conflicts (I'm assuming that your sheet covers the OoM/CE war) it's clear that the OoM/CE war took influence points (on the 3rd, 4th and 5th) from the IS/Dems conflict.
This suggests that we need to know a lot more about what happens during conflicts and gather as much ammunition (if you'll pardon the phrase) as possible to take the the Discussion forum to fight the case for more clarity in influence changes during conflicts.