Heat doesn't rise.
Warm air, which is less dense than cold air, floats up in an atmosphere of cooler air, because it weighs less. Warm air rises the same as warm water rises in the ocean, or the same way helium balloons rise.
The heat from the sun gets to the Earth by radiation, it travels through the vacuum of space without convection or conduction. Radiant heat warms objects, like the Earth, people or walls, then air in the vicinity of the warm object warms up by conduction and rises because of gravity. The rising air is called convection. This transfers energy to cooler objects that are higher up. So it seems as though heat rises. Actually, warm air rises in the presence of gravity. But radiant heating is all about heating objects to begin with, and then the room gradually warms through convection and conduction.
This is why you can be in a cool room with radiant heating and feel perfectly comfortable. It's also why radiant is more efficient. Because you don't have to heat the entire space and all its massive walls, etc. in order to feel comfortable. That's why ceiling radiant is ridiculous, it only warms people's heads in a cool room. But leaves their feet, or anything out of the line-of-site of the ceiling unaffected.
At least with floor radiant you get warm feet first. Then the convection takes over, from the lowest point in the room, and the whole environment becomes comfortable. Much better than forced air heat, because a draft is not comfortable and a draft promotes evaporation. Evaporation is cooling. So forced air is also evaporative cooling that is overpowered by so much heat that it feels warm.