I've been down this rabbit hole myself, and it's a proper head-scratcher. The Ecoflow Wave heater draws an absolute ton of current when it's heating — we're talking 30-40A spikes depending on which mode you're running. That's the killer.
Theoretically, yes, you can power it from a 24v LiFePO4 system, but you'll need some serious battery capacity and a beefy inverter to handle those current surges without your BMS cutting out mid-shower. I've got a 200Ah Fogstar in my narrowboat, and even I'd be nervous about running one of those heaters directly off it without careful load management.
The real issue is voltage sag. When the Wave draws that current, your 24v system might dip below the inverter's minimum input threshold, especially if you've got cable runs (which you almost certainly do in a boat or van setup). You'd want short, chunky cables — think 10mm² minimum.
What I'd actually recommend is pairing it with a proper DC-DC converter rather than an inverter if possible, or just accepting you'll need a 48v system. More voltage = less current draw = fewer headaches. A Victron Orion-Tr would handle the conversion elegantly, though it's not cheap.
Has anyone else actually got one running off LiFePO4? I'm curious whether people have found workarounds that don't involve remortgaging the narrowboat or living like monks without hot water.