The torque spec is a simple way to describe a pull up dimension ( distance traveled on the crank after metal to metal contact).
There is definitely engineering involved with it, being that the clutch is an interference fit to the crank. The torque gets you in the ballpark for safe operating speeds with correct torsional capabilities.
This is why anti-seize, grease, impacts, hammers, etc. are a big no no. These have influence on the engineered design.
Sounds like you went way past the pull up window with the impact. I would measure everything up before running your current set-up. If your not hosed now, you could be soon by not looking into this closer.