We used to sail a lot in a coastal "fiord", about 20 NM into the mainland from a largish strait.
Such geography (steep sided narrow inlet) often results in a diurnal wind pattern that sees thermal heating generating often brisk inflow winds during the day, but at night these winds reverse and blow out of the inlets to open water.
During the day cruisers would often anchor in the lee of an island or peninsula for shelter from the inflow winds. The unaware would try to stay overnight. This usually led to a rude awakening around 0100hrs when the outflow winds start up, and suddenly you are swinging toward the beach with a 20 knot breeze blowing hard onto that beach.
To me, this qualifies now as a lee shore, and my understanding was a lee shore is one where the wind is generally blowing onto it (and therefore requires beating to escape, or "claw off" as they used to say).