Consecrated Path teleport range boost?

Is there anything that boosts the teleport range of Consecrated Path besides the hat enchantment? Does increasing melee range help, and if so, how?

It looks around where you click to see if there's a monster to decide if you teleport or not. Does increasing the AOE increase the radius that it looks for the monster? If so, that effectively increases the range since the distance you can actually hit a monster at would be teleport range + AOE radius.

Has anyone tried the teleport range hat enchantment, and if so, does it feel like a good enough QOL upgrade or is 10-15% pretty insignificant?