I think the reason the DI output is so hot is because contrary to its name, the DI out is in fact +4 balanced Line Level, and not mic level as on DI boxes.
the terminology is a bit confusing especially as the forthcoming BC1 has an XLR labelled Line In (which is balanced +4 line level) and also , just like the the BP1 series, an XLR labelled DI Out - which again , is in fact a balanced +4 line level out.
not entirely sure why both the BP1 and BC1’s XLR outs aren’t simply labelled Line Out, because that’s what they are !