Hello, I was searching the web for the same issuse. I have the same Logitech Freedom 2.4 Cordless Joystick and just bought FS2020 (I haven't played in many years) and so I dusted off my perfectly usable joystick, and the game didn't recognize it. I grabbed the latest (very old) drivers/utility and installed successfully. Both the Logitech utility and FS2020 confirmed axis movement. Bit I'm unable to find the proper linear settings for things like the throttle.
Good luck!