I can only speak of my experiences with may Haddonis.
It seems that they can almost turn off the stickiness. I have noticed that when I was re-doing one tank, and then moving a Haddoni from one tank to another that they both became completely un-sticky. A couple of days later, all was back to normal.
For a new anemone I wouldn't be worried too much, sure would prefer them to be sticky, but this isn't uncommon for newly introduced ones. IMO, the mouth being closed it more important.