We had a suspended ceiling similar to that in the hallway of our house in Mallorca. All the other ceilings were just the underside of the roof, which was similar to that in the first image above.
The actual ceiling is made of yeso panels reinforced with hemp fibre, sections of which are held in place temporarily with scaffolding, allowing access to their upper sides.
Twisted strings of hemp fibre, similar to plumbers' tow, are saturated with a liquid yeso mix by submerging them. One end is blobbed onto the top of each panel, then wrapped around the beam above, and back onto to the panel. Our ceiling did not have the extra support of the strings being extended to the roof above.
The scaffolding is progressively moved until the whole ceiling is completed, then 1the whole mess is left to harden, which is quite rapid.
It is an extremely messy method of construction, as anyone who had a wall or ceiling plastered with yeso in the traditonal way will agree.
It is just as messy to remove. The reinforced yeso is extremely hard and strong and makes a lot of dust as it is broken up.