In a "swiss model" workshop, we just use that Bergeon or Bergeon kind of tool for finding the leak when alreay detected, but not for definitive test.
The standard test is made in a dry equipment, usually the Witschi ALC 2000. Here is an example of a Ti Samurai being tested in a ALC 2000, before and after the test:


This equipment is composed by a chamber with a sensor where we put the watch in. The sensor touches the crystal of the watch. The other part of the equipment, not shown here, is a air compressor. The test is made subjecting the watch to pressures, positive or negative (vacuum) and measuring how much it deforms under those situations. Under vacuum, the watch expands and under pressure it shrinks. So the pressure is applied, the watch starts to deform, the equipment start to measure the deformation (which is not subtle) and wait until the deformation stabilises. Once it stop to deform, the equipment wait for a time, usually 60 second or sometimes a bit more to see if the watch can keep that deformation. If yes, this means it's watertight. If it cannot keep the deformation, this means the watch is leaking.
Of course different watches performs a little different. For example, dive watches, due to it's robust construction, tends to deform much less than a "social" watch. This way, the equipment can misunderstood that little deformation and think it's leaking, when it's not. That's why we can choose an option of "hard case", so the equipment can make the right reading even in watches that deforms very little under pressure.
Also, the results to decide wheter it is good or bad, are matematically based on a ISO norm. As the ISO just preview the test resistance in one specific depth, the equipment can calculate the same proportion for any depth between 1 and 9 bars. You can also choose if you want to use the same proportion of watch resistance, wich is a leakage of 1%. Usually we use a stricter tolerances from the norm, using a maximum leakage of 0.5%. This basically doubles the safety of the results.
The equipment make two tests: one with vacuum, usually at -0.5 bar, folowing a pressure test up to 9.0 bar. The vacuum teste is actually more decisive than the pressure one, because it tests the watch in a relaxed situation. Because worn, old, deformed or incorrect gaskets can work when pressed against the parts, but can fail when relaxed. So the vacuum ensures the gaskets are in condition of being water tight in any condition, and also ensures that any part is correctly fitted. So we keep an eye much more on the vacuum than the pressure test.
In regular watches, this is sufficient to say the watch is watertight.
But for professional dive watches, above 150m of resistance, we have to follow the water test. This is a simple equipment with a chamber fiiled with water. You just put the watch inside, close it, and build up the pressure to 125% of the rated pressure. This means that a 200m watch must be tested at 250m, a 300m watch muste be tested at 375m, and a 1000m must be teste at 1250m. The watch must be kept to that depth for two hours. After that, you remove the watch from the chamber and make a condensation test. You have to heat the watch up so it becomes entirelly warm. If any water got in, it will evaporate. Then you put a drop of cold water over the crystal. If water got in and evaporated with the heat, it will condensate under the crystal. If everything is ok, the watch just passed the test. This is a definitive test.
This is the same Samurai on the test:



And for curiosity, this is an Omega Seamaster Planet Ocean being tested at 750m...


But this is a destructive test, to it can only be carried out if the watch was assembled by a professional and trained watchmaker, if the gaskets and other parts are original and new, and if it succesfully passed the dry test. Otherwise it can be disastrous.
To finish, that Bergeon equipment we just use to find where is the leakage when a what does not pass the dry test. If the leakage is not obvious, then we use that equipment so by the bubbles we can see if the leakage is on the crystal, or on the case back, or on the crown, etc.
Hope you liked!
Best regards,
Adriano