These issues are well known, so I don't know why you keep asking questions you could easily research on your own. If you are interested in transducer design, then I suggest you enroll at a university that offers a degree within your sphere of interest.
You are I think confusing sensitivity and efficiency. They are not the same thing. Sensitivity is a mess as there are two ways of looking at it. I db 1 watt 1 meter, and 2.83 volts one meter. Obviously on the later a 4 ohm speaker will be 3 db more sensitive than an identical 8 ohm speaker, but it will take twice the power. It does not stop there as if one speaker is highly directional and the other has good dispersion, the sensitivities may be the same, but obviously the speaker with wider dispersion is more efficient.
Efficiency is the percent electrical energy fed to the driver converted to sound energy.
Now the way to build up efficiency is to increase the flux density in the gap, though very powerful magnets and VC design, especially having a very small air space between pole and coil. You also make the moving parts, especially the diaphragm as light as possible. This light diaphragm raises the free air resonance and also limits bass response.
Now as you build up the flux density electrical Q is lowered and total Q is lowered. So a high efficiency driver is a low Qt driver. The take home is that bass response is inversely proportional to flux density. So if you make a high efficiency low Q driver, then you have to horn load it to get any bass, as it requires a highly efficient acoustic transformer to bring up the bass. If you make a three or two way speaker with high efficiency mids and tweeters, you only get the gain from the mid and high frequency units with an active design. In a passive speaker, the mids and highs have to be padded down and the efficiency gain wasted as heat in the L-pad resistors, unless the system employs a huge horn for a high efficiency woofer.
The best way for you to look at this is to look at the
Lowther drivers. These were first produced by Paul Voight in the 1930s. He really has to have the credit of designing the first high fidelity loudspeakers. Lowther is easily the worlds oldest loudspeaker company. They produce highly efficient drivers for horn loading. The flux densities are enormous. As you go though the specs of the units you will see that as the Tesla in the gap goes up, efficiency goes up and Qt drops.
Take a look at
this driver.
This is the enclosure it takes to load it.
You have an interest in Ribbon speakers. The first was Stan Kelly's Decca/Kelly horn. These units date back to the fifties. I knew Stan. He was one of the great pioneers. To up the efficiency and get the crossover point to 2.5 K he horn loaded his ribbon speaker. Horn loading will greatly increase the efficiency of any speaker drive unit.
For more information on the subject you need a period of didactic study.
In essence the answers to you question have actually been known for over 80 years.