Overview
A big inverter is not a flex. It is a demand on the whole electrical system.
The OUBOTEK unit shown here is sold as a 3000W rated, 6000W peak pure sine inverter. That sounds like an AC appliance number, but on a 12V battery system it is really a DC current problem: 3000W is about 250A before inverter losses, and can climb past 300A as battery voltage drops and efficiency losses are included.
That means the battery bank, BMS, bus bars, disconnect, fuse, lugs, crimp quality, and cable run all have to be sized for the real current. A single 12V lithium battery with a 100A or 200A BMS may be nowhere near enough for the full inverter rating even if the amp-hour number looks large.
Pure sine output is still the right choice for sensitive electronics, chargers, and motor loads that dislike modified sine wave. The warning is about scale: this belongs in a planned house-power system, not clipped to a battery with included cables and hope.
At 12V, 3000W is a very large DC load. Treat it like one.