Mule tape is intentionally slick. The lubricant on Mule Tape is water soluble so wash it out. Soak it in a bucket of water with TSP powder from the hardware store (trisodium phosphate is the active ingredient in detergent) or use a washing machine's prewash cycle once or twice, adding detergent each time, before using the regular cycle, maybe with a double rinse. Look for a ring of light oil in the machine after each wash. Wipe it out before your spouse sees it.
Mule tape is not for everyone but the price is often the best. Washing removed the printing too, so remember the size and strength numbers.