To be clear: The stick IS operating as analog. But the zone of movement where it is analog is very small, kicks in at a relatively high value (presumably at least 4096,4096), and reached 100% input almost immediately with only a very small movement. There is a large area towards the outside of the movement circle, seems like more than half of it, where all movement is at 100% despite not being anywhere near the physical limit of the stick movement. black=no effect grey= effect, engages suddenly at high value, and quickly reaches 100% with very little movement. white=100% effect, reaches 100% well before stick physically reaches edge of range. ^^^ bad ^^^ Modern controller sticks self-centre, so a huge analog deadzone is redundant, and suddenly outputting 100% effect when it's nowhere near 100% of it's physical movement range.. is very tedious.
