Good to know!
Alas, I might not be able to check it - Lori likes her pilots "dangerous", which I am considered since last night. So now I am 100ly away, doing the Kongga Ale shuffle, to please here even more...
Edit:
After the next tick (checked via GalMap, it has the updated values), "my" faction is now at 28.7% (day-by-day +7.9%), followed by 27.7% (-3.6%), 22.7% (-1.8%), 19.9% (-2.6%) and the "enemy" is still at 1%. The war has ended as well, and "my" faction also got a station from the losing faction.
Before it had no station - taking that station (it's actually the closer of two stations with similar economy) might help consolidating "my" faction in its new-gained position when CMDRs come along for "random" trades/missions. I noticed some traffic (=EDDB updates) over the course of the day, feared someone might undermine my effort, but everything seems fine.
Well, now they have to stand on their own feet, but I think I left a good foundation for their ascent to world domination

As it's easily possible to check via GalMap, I might occasionally check how they faired...
Edit2: Another 2 days later after the previous edit, without intervention by me, "my" faction is now up to almost 33% and in "Boom" state, while the "enemy" faction is at ~2.5% and "Retreat".