Then answer me this what happen if the two frequencies are hit at the same time, What does the amplifier see then? It seems the sim is showing the the two different frequencies but not at the same time.
Lets assume an ideal 8 ohm tweeter and mid-woofer, with a perfect infinite slope crossover at 2 kHz. So perfect that at 1,999.99999999 Hz 100% goes to the mid-woofer and at exactly 2kHz it all goes to the tweeter. You would have an amplifier load that is exactly like a single, ideal 8 ohm driver without a crossover.
We know that current = V/R, but how would we ever calculate the current for complex music?
Imagine a test tones with two notes, 500 Hz and 4 kHz. 8Vrms each, with the peak voltage 2x the peak of either by itself.
In this case we have 2 A, because you take each section and add them.
8 Vrms @4kHz / 8 Ohms = 1Arms tweeter
8 Vrms @500 Hz / 8 Ohms = 1Arms mid woofer
Now imagine we use the same test tone and add a true woofer below 200 Hz, converting into a 3-way:
8V / 8 Ohms = 1A tweeter
8V / 8 Ohms = 1A mid
0V / 8 Ohms = 0A woofer
We added a 3rd driver, but the current did not rise. Calculating a total R of of 8/3 will not work here.
Let’s this time use a new test tone at 200 Hz but nothing else.
0V / 8 Ohms = 0A tweeter
0V / 8 Ohms = 0A mid
8V @200 Hz / 8 Ohms = 1A woofer
Again, the current is entirely dependent on the section it went to. In all of these cases, the answer is that the current and power is identical to a single driver because of the magic brick wall filter sections used. Real filters are not ideal, but not too far off these examples we can't use them, and where the impedance curve drops to the impedance of the single driver you can see it is working very much like these examples.
Of course, multi way speakers and music is complicated and ideally resistive drivers almost never exist, and never match other driver types. :D You can’t really do this with music without a digital sampling mechanism, but i hope you can see that no, the drivers don’t add up the same way in an AC circuit with filters.
In the post I sent you I use a VERY typicical type of speaker build and crossover design, one you’ll find 100s of examples of in Stereophile. That peak between the mid and tweeter is the combination of the low and high pass filters. Split them apart, they go to infinity. Put them back together, either with jumpers at the speaker or bi wiring to the amp, and they meet in the middle at an amount a lot less than invinity, but a lot more than either driver.