I don't have an Amel yet but am buying a 55 right now. My current boat, a 2015 Jeanneau 439 has been fully converted to lithium/solar professionally. See photos here: (https://photos.app.goo.gl/YZv6xncC821Rquqn8).
My boat has all 110v AC plugs (including air conditioners) running on dual Victron Multiplus 3kw/120 inverter chargers. I have dual 560aH lithionics batteries with external BMS and a common load and charge bus. The victrons are connected to both the load and charge buses using dual runs (5ft) of 00 cable.
I have 3 air cons, dual dometic 9kw and a single 16kw. The 16kw has a smartstart. All 3 air cons are connected to a single Victron, the other house sockets (microwave, water heater and sockets) are on the other Victron.
The boat has 1200w of Solar and I get about 50A at peak in NYC and about 95a peak for more hours well south of here. I also have a 360a API alternator with a balmar mc614 temp compensated. The alternator is detuned to generate 230a at 63c temperature because of heat generation, it's like having a 5kw heater in the engine room...
I can run a single 9kw AC unit on invertors and charge the boat the following day when south of here. I can run all 3 units on inverters also.
I do see low voltage alarms from the inverter when the AC's kick on the compressors. Normal pull for a 16kw is about 10a @ 115v (remember I rarely get 120V into the boat, the dock power wobbles down as low as 112v and that also means it will pull more amps). Normal pull for the 9kws is about 7a @ 115V.
The Victron can supply 4.4kw for a minute and this allows a single Victron to run all 3 AC units at steady state BUT if the planets align and 2 units kick on simultaneously, even over 5 ft of dual 00 cables, I'll see 500a pulses from the lithiums and the victrons complain about low voltage briefly and then recover.
I have run all 3 units, a microwave, the water heater which pulls about 700a (max pull for a single battery is 400a so 800 for both) and it does trip there (the inverters trip on low voltage).
Looking at my desired Amel 55. The inverters are too far from the batteries. The batteries are under the galley sole, the inverters are on the port engine room wall. That's a much bigger run than on my current boat. 24v would possibly double the distance to maybe 10ft but you're still not better than my current system. I'd relocate the inverters in to the main cabin somehow if doing it again.
Heat wise, I've found the victrons only get really hot charging, not inverting. I run mine one over the other and needed to limit the top one to 60a to keep it from getting hot so I just push 120 + 60 a when on shower power which is plenty for me. On a generator, you might want 120+120 but then you need to cool it and I didn't have the space on my boat.
If I was running the boat in euro land then I would have added a 220v Victron charger. A smaller one would have worked fine (60a or similar) on shore power.
Billy (buying iolani hopefully)
So, it can be done.