<< Your example of a two way design is unrelated to my example. The 39 Hz tone (ignoring harmonics) would most definitely be reproduced by the LF transducer and the 1 kHz tone would be produced by the HF transducer. >>
Buddy, are you dense or something?
Let's get down to the nitty gritty, shall we?
In a 2 way design, you have a woofer, and a tweeter.
And of course a crossover, which splits up the frequencies to each driver.
Now, let's be rather leniant and say that the crossover frequency is a low 2khz, while utilizing a standard slope of 12db/octave.
SO
That means if I play a 1khz tone, the woofer is going to play the 1khz tone at full output, while the tweet is going to play the 1khz tone at 12db less SPL than the woofer?
Why you ask?
Because 1khz is exactly 1 octave lower than 2khz, and since our crossover slope is 12db/octave, that dictates the tweet will play the 1khz tone with 12db less SPL.
Now, if you have a full range driver that has no crossover, and compare it to a 2 way speaker, they will produce the 2 frequencies (39hz and 1khz) with the same "problem".
Why?
Because both frequencies are in the passband of the woofer and of the full range driver.
It's not that hard to understand, really.
Of course the 2way speaker will have better high's, but that's besides the point.