I use the thumb stick on my throttle a lot for laterals. As written in my post just above yours it also requires no dead-zone and is therefore fast.Unfortunately, they are still the best option until you hit much more expensive VKB or Virpil stuff, and no one except Logitech or CH seem to have throttles with mini-sticks under the thumb.
Edit: The dead-zone for the thumb sticks is built into the hardware (probably configured or calibrated), therefore there is no need to add one, but in DIView you can see that the raw data does not change around the center.
However for the main axes roll, pitch and yaw I use dead-zones. Do you as well?
Could you maybe have a look at this post and comment, the dead-zone point? :
Still, I think there are two things FDev could do to help us HOTAS users: