That's an outdated A-10A no longer in service. The TM WH is modelled on the current C.
That stick is based off the old Phantom stick too IIRC... which TM also made a joystick of back in the day.
Yeah, the Thrustmaster Warthog is based on the modernised version. Remember the Hog has been around for a LONG time (1972) and they have been brought into the 21st Century to make them last until their phase out date in 2028. Would make no sense to fly a 70's era tech plane nowadays.
Regarding the TM Warthog, I found out something cool today. There is an "Afterburner Detent Mod" built into the stick. It stops the stick moving the full distance until you lift it up to free it. Why is it cool? Well, when you push to the Detent position it's almost perfectly in the middle of the blue throttle bar. So when you are flying in supercruise at full power and reach 10 seconds from target, you just have to pull the stick back and it goes "CLUNK" into the detent position and then you are at 75% power. It just makes it that much easier.