??? Typo? Did you mean resistance instead of current. I agree that 'negligible' and 'near zero' are synonymous.
First, to the extent that the loads are balanced and cancel out current on the neutral, the current flows in exactly the path you describe. [EDIT: Not exactly the path you describe. Current travels from L1 to L2 without traveling at all on the shared neutral, other than at the node where it connects to the load neutrals.]
Second, the impedance of the neutral conductor is never actually zero. However negligible it is, it's enough to force some tiny amount of current to 'go the other way' and return through the L2 load conductor, and coil, just as you say. If the neutral develops a non negligible resistance then the change in current (and voltage!) on the other leg won't be non-negligible either. That's when it really will start to behave like a series circuit. But conversely, since the neutral impedance never entirely goes away, the series circuit behavior never entirely goes away either.
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I fear this part of the discussion is a tangent. I believe it came up because buffalo tried to use 'series' to argue about 'phase'. That strikes me as a semantic game that I don't have a personal stake in. However, we should all be able to acknowledge that current can and sometimes will travel from L1 through a load, to the shared neutral node, and then through a load to L2 and back to the source, without traveling on the neutral. Using 'series' to describe that behavior seems reasonable enough to me.