EDIT: Allen beat me to it.
(NOW, you know who can answer this question...[+ it ain't me.] )
(just have to wait until gsxr or one of the professional wrench turners see it.)
I hate to complicate your diagnostic endeavors...BUT,the MAIN ground for the
whole electric system is that wire from the Battery Negative Pole to the Body.
(so [putting your DMM in series at that point] in effect you are measuring the AMP draw from the negative side of the consumer through the body < ground wire < consumer
I'll bet if you put the DMM in series in between the Battery Positive pole and
the positive clamp you'll still get the 4.4 AMPS Draw.
That's a big draw...I'd be suspicious of the rectifier bridge/diodes in the Alternator(It has been known that when one goes bad it suctions off the Electrons.) Yes,the test would be put the DMM in series between the positive lead from the Alternator (Big Wire)and the distribution block on the passenger wheel house.[KO,EO of course][Key Off,Engine Off]