I am still doing research on the whole power consumption/recharging thing. I do have a Waeco 110L fridge, and have two Lifeline 6V batteries providing 300 AH capacity, so maybe some of what I have learned will be of use to you. I also have the 4 stage Iota charger and 100 W solar mounted and 100W solar portable.
There is a lot of different info out there on the Waeco power consumption, depending on the website. Sales sites seem to quote a lower power consumption than do the various Dometic/Waeco sites. The New Zealand Waeco site, and others, say this:
2.2 AH @ 25 degree C ambient (about 77 F)
2.5 AH @ 32 degree C ambient (about 90 F)
I asked the factory this question before the purchase and they told me they had no better info than what I quoted above.
I stored my batteries for three weeks before my camper was ready for pickup. First installed with no load they read at 12.9V, now when 'fully charged' they read 13V. Lifeline batteries seem to be a little different than other AGM batteries, at least as far as the various charge voltage scenarios that the factory literature recommends.
I could not get the Iota charger to charge them to a resting voltage above 12.8, until I killed the 12V via the kill switch, then they charged to 13V. Just discovered this and I don't yet know why. I plugged in after my last trip and experimented with this, as the fan kicked on when I hit the kill switch, and turned off when I pulled it out, seemingly indicating a higher charge rate with the 12V power off. Counter-intuitive and not in line with the Iota and FWC literature, but that's my experience.
I have the Zamp solar controller that shows battery voltage, and will report the total AH of charging since the last reset. It is supposed to turn off when it is dark but mine does not, at least the back light stays on until I manually reset it (ie pull the fuse).
The Zamp controller has never indicated it has gotten to the float stage via the lights. As a test I used the portable panel and tracked the AH charged, after the Iota has stopped charging and turned off. It put in 45AH before I stopped the test because I needed to go camping again. That would imply, perhaps, that the Iota decided my batteries were charged when they were really at about 85% or so, and the solar charger was still in absorbtion phase. The voltage readings I took would support this, I think.
I also did an unplanned test of battery life over the July 4th weekend, camping in enough shade that I only obtained 5AH daily charging in pretty hot weather, with both panels in use. On the third morning the battery voltage finally dropped to 12.1V.
The only other data I have is that my average charging from one panel is about 25AH with pretty good sun, and when parked on a bare hill top on almost the longest day of the year, with zero clouds, with the portable panel on the windshield facing south, the combined 200 watts produced 80AH.
Now that I seem to have tricked the Iota into charging to 13V resting state, I want to try the solar panel test again. But it is now cloudy and it has actually rained a wee bit the last two mornings in San Jose. so that little experiment may have to wait until some other time.
I doubt you need a special charger from Sears. If I had your batteries I would determine the manufacturer and find from their info what the charge scenarious are supposed to be. Then leave them on the Iota for a day or two, then unplug it with the 12V killed, and check them after 4 hours time has passed, to let them stabilize (resting). If they aren't at the factory-specified voltage then perhaps the batteries are faulty, or at least you would have a lot of info to pass to the Sears guy to convince him that he should stop argueing and just refund/replace them.
