I heard back from Ecotech today...
"Thank you for contacting EcoTech Marine. The NYOS skimmers are not designed to be turned off constantly. That said, if it is powered down, it may take a few minutes for it to start working properly again. That said, to resolve the issue, I would recommend having the skimmer be plugged into power all of the time."
So basically they are saying, don't shut it off and you won't have this issue. Well, that's helpful! Haha. I did reply back asking them how one is supposed to remove the skimmer cup for cleaning without shutting down the skimmer. Yes, I can adjust the skimmer down so that it does not flow into the cup, but that means I have to readjust it every time as well and with the size of the cup that would be happening a few times a week. I suppose I could just drain the cup into a bigger container, but I really shouldn't have to do that, IMO.
I think I will pull the unit out tonight and disassemble it and check for any issues.
On the positive side, it doesk skim very well, once you get it jump started.