There are some serious errors there Ralf. I'm not very qualified to correct them but I'll do my best to point to the problems in what you posted.
In a nutshell: the distinction isn't so much between omnis and cardiods but between pressure transducers and pressure *gradient* transducers as well as dynamic and condenser capsules. Bear with me. You'll see why in a moment.
Pressure transducers are by their very nature omnidirectional. They only react to the air pressure at the front of their diaphragm.
I don't see how dynamic vs condenser type figures in here at all. If it does I hope someone can explain why.
Pressure transducers react to pressure on both sides of the diaphragm like any microphone. The difference is the back of the diaphragm is sealed to the outside world (nearly, see the exception below) and being sealed determines the pressure on that side.
If they're condenser microphones, they are equally sensitive to all frequencies, low and high. Condenser pressure transducers could theoretically go as low as DC if they're subjected to a static pressure. This explains why condenser omnis are generally better at reproducing bass frequencies.
No microphone is equally sensitive to all frequencies. They all have a limited bandwidth, although some have a flatter response than others. Dynamic mics are the same as condensers or any other type in this respect. As I mentioned above and regardless if they are dynamic or condenser based, pressure transducers have a sealed volume on one side.. almost. If the chamber was totally sealed the microphone would be sensitive down to DC and act as a barometer. You would record a DC offset with atmospheric pressure changes or with changes in altitude. So there is a small hole that equalizes the pressure and that is one factor that effects the lower frequency limit of its frequency response. Same for condensers and dynamics.
Pressure gradient transducers (and all dynamic microphones), on the other hand, only generate an output voltage while their diaphragm is moving due a pressure difference (gradient) between the front and the rear of their diaphragm. The higher the pressure gradient and the resulting speed (velocity) with which the diaphragm moves, the higher will be the output voltage they generate. At lower frequencies, their diaphragm moves slower and their output voltage drops accordingly. Much like a dynamo, in fact.
Lots of stuff getting mixed up in there. All mics only generate output voltage when their diaphragms vibrate. All of them vibrate because of a pressure difference between the opposite sides of the diaphragm, but with pressure omnis, only one side is exposed to the atmosphere. The higher the pressure gradient between sides, the farther the diaphragm moves back and forth, producing a larger output voltage swing which means a stronger output signal. The speed at which it vibrates corresponds only to the frequency of the sound exciting it. The output voltage doesn't drop if the diaphragm moves slower, the frequency drops. The voltage produced only drops if it doesn't move as far, as when it is exposed to a lover SPL sound.
Now, in order to make pressure gradient transducers equally sensitive to all frequencies in the desired operating range, their diaphragm has to be suspended very loosely ("tuned" towards the low end) to allow for more excursion (i.e. velocity) at the low-frequency end and keep their output voltage linear. And that's what makes them more prone to wind and low-frequency handling noises.
This is true and a point that DSatz makes in his previous post.
Practically all directional microphones are pressure gradient transducers.
Well practically all directional microphones are a combination of both pressure and pressure-gradient principles.
The only microphone pattern that uses the pressure-gradient principle exclusively is a
single diaphragm type figure-8.
I'm not trying to be overly critical of your post, Ralf. But I do want to correct those fundamental an misleading errors. Again, I'm not an expert, I only fake it.