Considering that electrons travel on the edge of the trace that seems true, but I'm not sure.
Electrons take the easiest path & that path has the lowest resistance.
Normally this means that the majority of the electrons will travel along the track that is at the lowest temperature. As this track's temperature rises, the electrons will search out another cooler track.
Please cease and desist from repeating this silly old saw. It's confused so many beginners, while giving no actual insight!
Electrons most certainly do not clump together into a tiny filament along the one tiny slightly-lower-resistance path.
Charges (not just electrons!) follow each possible path, inversely proportional to the resistance of each path.
Nothing more, nothing less.
At AC, the path of least
impedance is along the surface and edges of conductors (skin effect), which is still not to say that current goes to zero inside a conductor (except at certain locations, because of some neat physics), just that that's not where the majority is flowing.
For a switching transistor, current is an about equal superposition of DC and AC, so one must consider both. Keeping the path short to reduce inductance, is equivalent to keeping the path of least impedance spread out widely, so it's a doubly good goal.
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Tim