The charging cutoff is the real limiter, yeah. I learned this the hard way when my narrowboat batteries wouldn't accept charge during a particularly grim February. Below 0°C, you're basically stuck until things warm up—the BMS won't let it happen, protective measure and all that.
What saved me was adding a heated battery box. Sounds daft, but a simple 100W heater (thermostat-controlled) keeps the cells above 5°C on even the worst nights. Cost about £40 and it's been worth every penny. The beauty is you're only running it when needed.
For a shepherd's hut you're moving seasonally, I'd budget for this from the start. If you're only there in warmer months, you might dodge the issue entirely. But if you're wintering, a Victron SmartBMS with temperature monitoring gives you the data to make proper decisions about when to charge.
The weight difference though—@DaleSpirit's right, it's transformative. I went from needing help humping batteries about to managing it solo. That alone might justify the upgrade for your situation, even if winter