Good question, flar - I've wondered the same thing.
On a related note: I've signed up for my local utility's Time of Use rates. Will it in any way affect the charger (or anything else) to plug the bike in and have a timer supply power to the Clippercreek unit?
BTW, the utilities really have their rates, ah, wired: Sure they give me a great Off Peak rate, but then, on that special, touted, EV plan, they jack up the daytime rates way above what I'm paying now. Oh well.
At least if I'm charging after midnight, the breaker won't trip when SWMBO plugs in her hair dryer.