All right!
After A LOT of attempts I've finally found a working config! 😀
Joystick cfg (file dosbox.conf):
joysticktype=fcs
timed=false
autofire=false
swap34=false
buttonwrap=true
and remapping (Ctrl+F1) up, down, left, right, for Axis 1/2 and deleted mapping of axis 3/4 and the other (file mapper-0.74.map) as:
jbutton_0_0 "stick_0 button 0"
jbutton_0_1 "stick_0 button 1"
jaxis_0_1- "stick_0 hat 0 1"
jaxis_0_1+ "stick_0 hat 0 4"
jaxis_0_0- "stick_0 hat 0 8"
jaxis_0_0+ "stick_0 hat 0 2"
jbutton_0_2 "stick_0 button 0"
jbutton_0_3 "stick_0 button 1"
jbutton_1_0 "stick_0 button 0"
jbutton_1_1 "stick_0 button 1"
jaxis_0_2-
jaxis_0_2+
jaxis_0_3-
jaxis_0_3+
jaxis_1_0- "stick_0 hat 0 8"
jaxis_1_0+ "stick_0 hat 0 2"
jaxis_1_1- "stick_0 hat 0 1"
jaxis_1_1+ "stick_0 hat 0 4"
jbutton_0_4
jbutton_0_5
jhat_0_0_0
jhat_0_0_3
jhat_0_0_2
jhat_0_0_1
Case solved! 😎
Thank you all for the given suggestions!
P.S.
To make things even more complicated the fact that every dosbox.exe version behaved differently to axis remapping, keeping defaults without dosbox.conf modifications! Weird...
P.P.S.
https://www.dosbox.com/wiki/Mapper
«If you want to remap anything to your d-pad/hat you will have to change joysticktype=auto to joysticktype=fcs in configuration file. Maybe this will be improved in the next dosbox version.»!!
SCAR 18 G834JY: i9-13980HX, 32GB DDR5@5600, 4090 laptop 256 bit 16GB, 2560x1600 16:10 G-Sync, NVMe 6GB/s, 8BitDo Arcade Stick, EasySMX X10 controller, ROG Strix Carry Mouse.