coning 'cause' doubtful - taught but doubtful
Ice skaters can't keep moving their arms in forever - the coning explanation at best is only a (transient) minor contributory effect - likely to be the dominant effect is the Total Reaction becoming 'more forward' (causing more 'autorotative force') corresponding to the increased angle of attack derived from increased negative induced flow achieved by the flare.
You can see this by holding an increased loading through bank in auto where the transient coning effect does not manifest itself above the effect of the ongoing continuous bank.