While that is true in theory, it doesn't prove out in the real world. Similar arguments are made about CO2 and atmosphere by folks that are placing carbon monoxide detectors, but it isn't true at all. Unlike liquids, small differences in the atomic weight of various gasses doesn't translate to settling in the air. Just the minute air movements within an enclosed area and the molecular tendency of concentrated molecules to diffuse into a solution prevents this.
Consider, if you will, why doesn't dissolved sugar in a water solution settle to the bottom? It's much heavier than water, but it remains in solution.
Same is true for propane and acetylene. We are lucky this is true, otherwise our atmosphere would settle into layers like oil and water. We would choke to death in the CO2 layer, organic materials would spontaneously ignite in the oxygen stratum, and all the airplane engines would die once they ascended into the nitrogen layer. Of course, we wouldn't have any light on the planet, since there would be a thick cloud of water vapors above the nitrogen layer, and we wouldn't get enough sunlight to grow anything.
In the real world once again, if you put them into a balloon, you will be able to see them float up or down, according to the molecular weight of the gas entrapped in the balloon.
Caveat: evaporating liquids, particularly flammable solvents behave differently than gas leaks! They will definitely settle on the floor in a layer of explosive gas near the floor. Of course, this is mostly because they start out on the floor from a solvent spill, and their molecular weight does cause them to be a bit slow while diffusing into the rest of air in an enclosed area.
Sulfur hexafluoride is a very heavy gas.