I dont trust AUTOTUNE in such a case !.. Or shall I?

Just finished my Atomrc Swordfish with an F405 NAVI inside.
Running on version 4.5.7
I used the factory provided paramaeter file as a starting point.

During my flight preparation tests I observed following wrong behavior in (all) stabilized modes:
a) Move Nose UP - Elevator goes UP (wrong, it should go DOWN)
b) Move Nose DOWN - Elevator goes DOWN (wrong, it should go UP)
The Aileron reactions are correct
Further, observed wrong Mixers
c) Right Roll initiates at the rudders Left-Yaw (it should be Right Yaw)
d) vice versa c)

I am new in Ardupilot.
I studied the Ardu WIki how to solve the problem.
But I couldnt find any possibility to fix that before the maiden flight.
All what they say is, fly away in Manual mode, go high, then switch to FBWA and “AUtotune will correct this behaviour”…
But cant believe on that .
Any help ?

No it won’t. You need to fix this before flying at all.

Yeah, thats also what I think. But how to fix this ?

What are the Gyro Parameters and how can I set the initial values.
Actually a standard case in all gyro-assisted receivers in classical RC

You need to get the servo directions correct in FBWA on the bench before doing anything. The base parameters will probably work fine to get it flying.