The inrush thing's genuinely mental — I learned this the hard way in my van conversion when I thought a 2kW Victron would handle everything. Spoiler: it didn't.
Here's what actually matters though: most domestic fridges pull about 600W running, but that initial startup surge can hit 3-4kW for a fraction of a second. Your inverter needs to handle that spike without dropping offline.
With 48V, I'd honestly recommend a 3kW minimum if you're running anything else alongside it (kettle, microwave, whatever). In my shepherd's hut setup, I went 5kW and haven't regretted it — gives you headroom and means the inverter isn't constantly sweating.
Real talk: check your fridge's nameplate. Some modern ones are efficiency-rated and won't hit the older spike levels. Equally, cheap Chinese units can be absolute power hogs. If it's a caravan fridge (like a Dometic), the draw's usually more predictable.
What capacity battery bank have you got? That's where it gets interesting — a monster inverter without