Hi,
Storms often try to ride boundaries if they find them. Sea breeze fronts/boundaries often enhance development - yes increased moisture, lift, instability and sometimes localised shear enhancement. However, if the storm crosses that boundary, the storm can weaken or even day within a few frames on radar. A classic interaction occurred on November 3 2000 near Wentworthville when a supercell became tornadic as it interacted with the sea breeze boundary. Once it crossed it, it was virtually gone within 30 to 40 minutes! A cooler boundary really causes a storm to become elevated and thence cut off from its energy supply.
Obviously on a case by case basis, this is somewhat more complex and there are some conditions that may enhance intensity and development or perhaps act as a desctructive influence.
Regards,
Jimmy Deguara