Lot of holes in the story but I'll try to get some numbers from it. Have to assume 6 entire days and nights since 7 days is kinda vague.
At 12.6v your lithium iron phosphate battery is between 50 and 60% charged so you'd gotten roughly 50ah out of it at that point plus whatever you'd put back. Between solar and the generator, assuming those are your only means of charging, you probably added about 55ah. 1a x 6 hours a day x 6 days is 36ah plus at least 20a in that hour of generator use assuming even a very small charger/converter and likely much more given the rapid charging capabilities of your battery.
So at first glance it would seem you used about 100ah in 7 days.
BUT
Popular camping fans like the Maxxair 6-in-1 and the Fantastic Endless Breeze pull 2-3amps so in an 8 hour night that's roughly 20ah x 6 nights is 120ah.
A 45L TruckFridge eluded me but I found 51L and 41L portable models and a 49L fixed unit on their website. They all appear to draw at least 1amp over the course of an hour in moderate climates when used conservatively as reviewed on Teardrops and Tiny trailers, this site, etc. So 6 days x 24 hours = 144 hours x 1 amp = 144ah.
Add charging devices and lights at say 5ah a night x 6 nights = 30ah.
That's 294ah of use. From a 100ah battery that's roughly 50% charged. Guessing you charge from your alternator while driving or your solar works a lot better than you think or...?
Oh man, now your gonna make me get into the details, haha. First of all I'm not trying to spoof anybody; whatever my loads, temps, solar input, etc, works out to be; my point was that we managed to camp like we typically do 6 or so times a year, only this time I wasnt constantly screwing with the batteries and generator. LiFePo4 batteries are real pricey but I'm stoked about their performance.
As to the details. 7 days is 7 days. We set up at about 4:30 on a Friday afternoon and I waited until about the same time the next Friday afternoon before I ran the generator for about an hour. The converter/charger is 45 amp/hr but that is kind of immaterial to the 7day discussion.
My house battery is not connected to the alternator.
We use a large combination of independent lighting methods so as to minimize the draw on the house battery. That will change as I get comfortable with the new battery. We use solar Luci lights, $3 solar landscape lights, AA cell battery led lights, and two 10" long rechargeable led lights from the clearance rack at Walmart.
Our 12v fan is a 10" O2cool ordered from Walmart and runs off of D cells, a built in rechargeable battery, and AC/DC. It defaults to AC/DC if its plugged in, then to rechargeable, then alkaline D cells. I have no idea of its current draw but its no where close to 2amp/hrs.
I was wrong about our fridge because I was going from memory which apparently ain't great. It's a TruckFridge TB41A. We open it a couple of times in the morning and afternoon. I've never timed how much it runs but I would guess 15-20 minutes an hour and it appears to draw 3-4 amps when running.
We charge our two Ipads, phones, flashlights, led reading lights, etc, off of a brick initially and then recharge the brick from the house battery. We have no cell or wifi signal so the phones and Ipads are off or in airplane mode most of the time.
I quit worrying about the solar panel output during warm weather camping because shade is more important, but I've got it so I let it contribute what it can. I have an Mppt controller and can usually depend on 0.5 amp from sunup to sundown with periods of 1 - 1.5 amp from time to time. Who knows, it may have brief periods of 10 amps.
A typical trip with the two 95 amp/hr FLA batteries would go like this: after about 48hrs the first battery would be down to about 50% so I would switch batteries and put it on the charger for about two hrs. We try to minimize generator run time because it annoys everyone including us, therefore the battery would get some bulk charging, maybe a little absorption, and no float. It would probably be at 80-90% charge at the end of the two hrs. The other battery was weaker so it would only make it a day before I'd switch back to the first battery. Basically I was running the generator for two hours every day. Granted both batteries were 5 years old so they were beyond their primes.
Now to the lithium battery. Fully charged it started at 14.4 volts. The biggest voltage drop that I noted from day to day was 0.2v. So 0.2 x 7 days = 1.4 volts. 14.4 - 1.4 = 13.0. I think lithium discharge is fairly linear so the reading of 12.6 at the end of 7 days seems reasonable. The lithium can be discharged nearly 100% without damage and I can recharge at 45 amp/hr so I wont even need a spare gas can if I decide to bring the generator.
I'll conclude by saying that if your assumptions and math dont support my statements then you're using the wrong assumptions. Obviously the solar was contributing more than I thought or the fridge is using less power, but at any rate we camped for a week running the setup that I have described without any auxiliary power. On top of that after running the generator for an hour on Friday afternoon, we never ran it again and we broke camp on Monday morning. I just went out an looked at it and the panel shows 13.2v.