According to the Morgan Fuels website, Cool Power fuels are made with a corrossion inhibitor as part of the lubricant package so after-run oil is unnecessary:

http://www.morganfuel.com/cp_blends.htm

Simply emptying your fuel tank and running your engine dry before packing up for the day should be good enough to keep your engine in running condition.

Edit: I should admit that I wouldn't trust my engines to the advertising claims of a fuel manufacturer. I run my engines with plenty of thick, sloppy castor oil and I protect them with after-run oil whenever I put them away for more than a couple weeks' time for storage.