I suspect (though it's far from certain) that the old converter had separate outputs for the battery charging and the general 12V use, and the 12V fuse panel is split into circuits that are always on the battery side of things and those that, when the converter is on, were switched to the converter power.
If that's the case, then probably the orange wire needs to be bridged to the other positive connections. Do verify things carefully first; post pictures if you're not sure and people here can probably help.