Can someone explain to me why wasn't he granted the clearance into
KIND? Was it because of traffic flow or because of the weather at
KIND? According to the decision it was both, but I was unaware that
ATC wouldn't grant you a clearance if the destination field was below
minimums as a part 91 flight.

Obviously you'd still need fuel on board to comply with an alternate
minimums, etc. As a part 91 flight he could still attempt to execute
the approach if the field was below minimums, while air carrier flights
wouldn't have been able to, correct?

I'm not asking about the intelligence of doing such things, obviously,
but rather the mechanisms for ATC to deny you a clearance.