Which currents were your local expert thinking of there, I wonder?

We need to distinguish here between the intentional output (cutting
etc.) from the ESU(s) and any extraneous "by-products" concerning leakage currents, earth loops and what-have-you which could (and probably
will, at least at the micro-amp level) occur as a result of having two ESU's blazing away at the same time.
Either way, the "currents" will go where all currents end up - down the drain to earth somewhere. I suppose that the guy was worried about the
paths they might follow within the patient's body. Again, that's what careful positioning of the return plate (two in the case being discussed) is all about. As well as that of the patient himself, of course (hopefully he hasn't got an arm hanging over the table, dangling into a puddle on the floor - or touching metal on the table,
etc., etc.).
To cover all the bases, we should also need to wonder about the earthing (actual, and relative to each other) of any or all
other equipment in use nearby.
But - as I have already hinted at - that second group (leakage currents
et al) may be considered negligible when compared with the active (working) current; and an "acceptable risk" when set against what the surgeon is trying to achieve.
Meanwhile:- yes, as always, Ohm's Law (and those of all his mates) applies. So yes (just as water always seeks its own level), current will
always follow the path of least resistance. You can trust me on that one!
