The tourbillon was, as Alex tells below, created for pocket watches, because they always rested in the same position.
A wrist is moving in all directions, so the tourbillon is unnecessary in a wrist watch,
if you are searching higher performance.
It was once a sign of the utmost highest mastership, together with minute repeaters, to create,
when every part were hand made, by one master.
But then came CAD CAM, microscopes and high tech machines...
Still they weren't better then a high class Swiss lever watch,
or a good marine chronometer!
I think personally that it's the most unnecessary complication of all,
and I know many who thinks the same.
A chronograph, or a split chronograph are complications you can have practical,
daily use of.
Or a dual time regulator, which is a very good complication, when you are abroad,
and even at home.
Even though I don't think my DTR is especially beautiful,
it's complication is very useable.
Same goes for minute repeaters, they were really good to have,
before the electricity.
Now most/many watches have indexes you can see in the dark.
OK, it's always amusing to hear a minute repeater,
but only very few of the wrist watch minute repeaters , Vacheron Constantin is in my ears best,
gives an attractive sound.
To get that, you must have the resonance of a pocket watch.
Both tourbillon and even more, minute repeaters are highly complicated to create,
but also very exspensive to keep in shape, and a lot more sensitive than a traditional watch,
or other complications.
It has been a boom in tourbillons last years, but much of their charm were that they were rare,
plus complicated and exspensive.
Now nearly every brand has, often several, tourbillons to show,
and they, of course, gets cheaper every day,
so even the argument that they are so extremely expensive is falling.
I personally always have seemed it pretty damaging to the dial,
to make a big hole in it, just to show that part of the movement!
Perhaps in a skeleton watch, but not in a traditional dial.
So from my point of view, if it must be a tourbillon in the watch,
I prefer it inside or on the back :-)
As an example of a almost perfect dial, if anything can be perfect,
the simplicity of the Patrimony is the utmost elegance :-)
It must not be exspensive to be beautiful,
it's often the reverse!
Just some personal thoughts before bedtime :-)