AC hose insulation wrap

[OUbesto]

I plan to remove some old, very old duct tape that the PO wrapped around the AC hoses/tubes (see pic). It looks like part of the tubing was painted black and about two inches were actually taped where it goes into the plastic housing. I bought some of the black, sticky type insulation wrap to cover the tubing but I'm not sure how much of the tubing that I should insulate using the black wrap. Can anyone help? Maybe send a pic that will show what it should like like?