Your "my info" section is not updated, so I am not sure how big your system is.
General rule the more I read is that any anenome in a reef can be a risk. With that said I have 3 in my 90g that have not moved in months.
The risk with any anenome in a reef is that they can become mobile at any time for no apparent reason and damage/kill nearby corals.
Really it is personal choice and how much risk you are willing to accept. I do not think it matters what type of anenome. I have had great success with rock flowers though.