Thanks to <font color="0000ff">snowfan470</font> and <font color="0000ff">admin</font> (John) for the explanaton(s).
Now let's see if I can rephrase what you both have said — with my background in engineering and mathematics, and several decades of aviation weather analysis as a pilot — and see if my understanding is somewhere near correct.<hr width=75% size=2>1. In the micro environment, with calm wind conditions, the temperature difference between the relatively colder land and the relatively warmer water and thus the corresponding atmospheric pressure differences (higher over the cooler land, lower over the warmer water) would tend to encourage a land breeze (by advection - the horizontal movement of air). The air movement here is at a low level and offshore, ergo no LES!
2. Adding a moderate onshore prevailing wind (apparently both the speed and altitude are critical!?) to this equation causes a collision between these two air masses (a low level convergence), forcing the warmer (less dense) air above the low level land breeze (by convection), thus lifting and transporting the lake-derived moisture — perhaps to a critical altitude for LES generation(?) — as it moves over the land.
3. On the other hand a stronger prevailing onshore wind would tend to inhibit or block the land breeze, (or perhaps force the convergence zone and convection further onshore, over the land?).
4. It seems clear that in addition to the relative temperatures and humidities of these air masses, there are some relatively small scale but extremely critical geometric factors at work here, like the altitude and thickness of the two air masses (the land breeze and the onshore wind) and their points of interaction. (Assuming I'm in the ballpark with the above, this element still remains a bit "fuzzy" to me!)