Hi Ryan,
At some point, I read that mounting the coil higher in the bracket helps to keep them cool, so engine heat probably does contribute to them getting warm.
Can't say I've ever touched it after a drive. I do have a block mounted coil. In preparation for the BHR 2016, I'll be doing a few 'shake down' runs this weekend. I'll make a point to put my hand on it and report back.
Tim