Warm air, or water, rises. The heat source is in the floor, the floor area will be warmer the air above it, therefore it will rise. The air current will be rising in the middle, because the walls will be cooler. Basic common sense, in my view!
Good point. Looking at round houses
your answer is clearly correct. Which is why I selected "it depends" also with under floor heating the air current would be up in the centre and down the sides.
Centre of house, internal wall of living room, we have an open fire.

I have made a unit to connect it to the AC, so no need to open a window in the summer for the exhaust, it has never been used by me to heat the house, main problem is air goes up the chimney and is replaced through every crack and gap in all doors causing drafts, as there is no ducting for combustion air, so it is for emergency use only as a fire.
The room has two radiators at 90° to each other on outside walls, under windows, not ideally placed, but they work, both with electronic TRV heads which do not connect to the wall thermostat, which clearly can't be opposite to both of the radiators, and the room L shaped, so no ideal place for either radiators or wall thermostat, but it works.
I have no idea how the air circulates, it clearly does, but at moment thermometer on table 21.3°C wall thermostat 21°C (only shows in 0.5°C increments) radiator behind me 20°C (only shows in 1°C increments) and other radiator 17.2°C behind a settee, and been a warm day today, so heating has not been running. The room below living room showing 17.8°C. There is a lot if insulation between the rooms, as it was a garage. In the main today room has been heated with inferred from the sun, so warmer than the rest of the house. Wife's bedroom North side of the house, 15°C with so many easy read temperatures my bedroom 19.1°C and the utility room unheated 13.8°C and hall 15°C TRV and 18°C wall thermostat, and dinning room 14°C on the TRV the rest do not connect to phone or PC, there is with the heating not running a huge variation throughout the house. Even within the same room. Some can be explained away by height of the sensor, or proximity to outside, but my feet are not cold, so the air clearly does circulate to some extent.