Coming at this from a van background rather than narrowboat, but the fundamentals don't change massively — and I'd say 200Ah is going to feel tight once you're dealing with short December days on the K&A.
The real killer isn't the headline capacity, it's your charging sources. On a van I can move to find sun; a liveaboard is often moored under tree cover or facing the wrong direction for days at a time. What's your solar array size, and are you relying on engine alternator to top up? Because if you're on a leisure mooring and not running the engine daily, you'll be crawling into that 200Ah pretty hard with heating, lighting, water pump, and any 240V appliances through an inverter.
A few things worth thinking through:
- Usable capacity — lithium gives you ~95% vs ~50% on AGM, so 200Ah lithium isn't as bad as it sounds on paper
- BMS behaviour in cold — some cheaper cells throttle charging below 5°C, which is very relevant on the K&A in January
- Shore power availability — does your mooring have a hookup point?
Personally I run a Victron SmartShunt alongside my Fogstar cells and the monitoring data alone has changed how I manage consumption. You really need to see your state of charge accurately before committing to a bank size.
Would be interested to know what your typical daily load looks like — heating system especially. Are you on a diesel Webasto/Eberspächer setup, or trying to run an electric heater off the bank? That answer probably matters more than the Ah figure itself.