Well, I'll be... you guys posted right as I was, haha.
But, yes, current can be measured directly. That's method #1 in my instructions, actually. Limitations are that most cheap meters only measure up to about 200mA, may not be entirely accurate and its common to blow fuses in them, which ends up reading "0mA" and people think their driver is malfunctioning!
Also, having an open circuit on a constant-current isn't great. Linear drivers are not too affected, from what I can tell, but a more sensitive circuit, like the boost circuits, may be damaged by this. Doing this is very easy if you're just holding meter probes on the pads since one small move may break the connection.