First, thanks for Best Solution.
The splitter design has nothing to do with the logic work. A Splitter only makes connections from mobo header to fan.
First, the signals involved. In both systems, Pin #1 is Ground (Black on a 3-pin fan), Pin #2 is the +VDC supply, and Pin #3 carries a speed signal (2 pulses per revolution), generated by the fan motor, back to the mobo for counting to measure speed. 4-pin fan systems change the signal on Pin #2 to a fixed +12 VDC, and then add the PWM signal on the new Pin #4. (4-pin fans tend to use different color codes on their wires, but the functions of the first three are almost the same.) Inside the fan there is a small chip that uses the PWM signal to modify the flow of current from the +12 VDC supply line through the motor windings, thus altering its speed.
The difference in design between 3-pin and 4-pin fans is in the method of controlling the fan's speed. For 3-pin fans, the header sends out a voltage to the motor which ranges from 12 VDC (full speed) to about 5 VDC (less might cause the fan motor to stall). That method is called Voltage Control Mode, or DC Mode. A 4-pin fan header that actually uses the new PWM Mode sends +12 VDC to the fan on Pin #2 at all times, and also sends the PWM signal for the fan's chip to use for control.
If you use a 4-pin Splitter and a 3-pin fan, the fans simply will never "see" the signal on Pin #4, which it cannot use anyway. But if the header only sends out a fixed +12 VDC on Pin #2 (as in PWM Mode) the fan will always run full speed. An auto-sensing system should find a way to determine which fan type is connected and change to Voltage Control Mode if necessary. One way I can imagine is easy at start-up each time. Send out the signals in PMW Mode and change the PWM signal to alter fan speed, then check what the speed signal does. If it does not decrease, change to Voltage Control Mode and verify that is working.
There is another slightly deceptive way this can be done. Many mobo makers use only 4-pin headers, but actually operate them as 3-pin headers using Voltage Control Mode only (they never even try PWM Mode). This works perfectly for 3-pin fans, of course. But the design of the new 4-pin fans has backwards compatibility this way. If it receives only the 3-pin signal type, it gets no PWM signal at all and cannot use that to change the current from through the motor. But the Voltage supplied on Pin #2 is NOT fixed as a PWM system would. It is varying, so that controls the motor speed and the mobo header appears to have full control of either type of fan. There is one small thing that can cause trouble with these systems: if you use a Splitter to connect several fans of DIFFERENT types to the same header, some of them will not perform properly.
So much for the whys and hows. That is why I said it does not matter which type of Splitter you use. No matter which way the "auto-sensing" header is doing things, it will be able to control your 3-pin fans.