Whenever I'm working in labs, I have always disconnected the +V terminal first because I've always been taught powering a chip without a ground is dangerous and likely to blow the chip. I've also experienced that happening so I'm pretty sure it's true.
However, the other day I was messing around in my car and long story short the battery died. I was instructed to disconnect the ground first because if I was disconnecting the +V and accidentally shorted it to a piece of metal the circuit would still be complete and a whole bunch of amperes would flow and perhaps electrocute me.
Now it seems to me that even with the ground terminal disconnected, if I short the +V of a battery to say the chassis of a car with something like a screw driver, won't current still flow?
Are there other reasons for the reverse paradigm? Any other safety considerations I should be aware? Thoughts in general on this situation?