That should be pretty easy to check: the switches for windows with auto function have two distinct positions for up and down: the first click is the manual mode, the second engages the full auto mode.
I would be surprised if Mazda uses such switches for windows that don't have an auto mode.
Which procedure did you use to re-enable the auto mode?
This is what the Workshop Manual (for my 2005 Mazda5) says:
POWER WINDOW SYSTEM INITIAL SETTING
Note
* Initial setting must be performed for the switch of each seat.
* If the following operations have been performed, initial setting is reset, and auto up/down and two-step
down operation are disabled. Therefore, performing initial setting is necessary.
* Negative battery cable disconnected or power window system power supply fuse removed (Perform
initial setting for the switches of all seats.)
* Power window switch connector disconnected (Perform initial setting for the switch connected with the
connector.)
1. Turn the ignition switch to the ON position.
2. Press the switch of each seat and fully open the door glass.
3. Pull the switch of each seat to the manual-up position to fully close the door glass, and keep holding the switch
up at the position for approx. 2 s.
TWO-STEP DOWN FUNCTION OPERATIVE/NON-OPERATIVE SWITCHING PROCEDURE
Note
* The following procedure switches the two-step down function from operative to non-operative and vice
versa
- Start
- Perform within 5 s. :
1. Turn the ignition switch to the ON position.
2. Press the auto switch twice.
3. Lift the auto switch twice.
- Turn the ignition switch to the LOCK position.
- Start the following procedure within 40 s.
Perform within 5 s.:
1. Turn the ignition switch to the ON position.
2. Press the auto switch twice.
3. Lift the auto switch twice.
- Switching completed.