Convective transfer of matter and energy, as a rule, has a vertical direction due to the thermal gradient, and the mechanism of horizontal movement of air masses is associated with pressure fields. But I don’t know the facts about the influence of the movement of air fronts on plate tectonics. Logically, it could most likely be the other way around.
The heat energy can be transferred by the process of convection by the difference occurring in temperature between the two parts of the fluid. Due to this temperature difference, hot fluids tend to rise, whereas cold fluids tend to sink. This creates a current within the fluid called convection current. Convection currents are the result of differential heating. Lighter (less dense), warm material rises while heavier (more dense) cool material sinks. It is this movement that creates circulation patterns known as convection currents in the atmosphere, in water, and in the mantle of Earth. The energy in the ocean waves is a form of concentrated solar energy that is transferred through complex wind-wave interactions. The effects of earth's temperature variation due to solar heating, combined with a multitude of atmospheric phenomena, generate wind currents in global scale. Wave energy (or wave power) is the transport and capture of energy by ocean surface waves. The energy captured is then used for all different kinds of useful work, including electricity generation, water desalination, and pumping of water. Ocean currents, including the ocean conveyor belt, play a key role in determining how the ocean distributes heat energy throughout the planet, thereby regulating and stabilizing climate patterns. Marine energy, also known as marine and hydrokinetic energy or marine renewable energy, is a renewable power source that is harnessed from the natural movement of water, including waves, tides, and river and ocean currents.Magma is the molten rock below the crust, in the mantle. Tremendous heat and pressure within the earth cause the hot magma to flow in convection currents. These currents cause the movement of the tectonic plates that make up the earth's crust. What is needed for heat transfer to take place is a difference in temperature between two objects. Without this difference, no heat transfer can take place. Heat can be transferred in three ways: by conduction, by convection, and by radiation. Convection currents transfer thermal energy through many fluids, not just hot water in a pot. For example, convection currents transfer thermal energy through molten rock below Earth's surface, through water in the oceans, and through air in the atmosphere. Convection currents in the atmosphere create winds. Heat from the core and the mantle causes convection currents in the mantle. This is how the heat is transferred, and how the earth's plates are able to move. Convection currents drive the movement of Earth's rigid tectonic plates in the planet's fluid molten mantle. In places where convection currents rise up towards the crust's surface, tectonic plates move away from each other in a process known as seafloor spreading.
I have the impression that you, dear colleague, have mixed up something. Convective flows in the Earth's interior can influence plate tectonics, but convective flows in the atmosphere are highly questionable.