Can I set the home position of the home stump, and then move it slightly? Or will it in time automatically relocate itself?

I got a floating island thing this morning (the 2-tier one sold at the official store in the 'Roo' sim) which has a pathway in the middle of it, so after using relocated while at center I moved the home stump off center, but did not hit relocate again.

Logged in some hours later to find one of my meeroos happily walking about in midair some 8m away from the platform... Maybe 18m from where I'd set home, but only 9m from where I'd left the stump. :)

So it looks like it -is- relocating home even if you don't tell it to, which is very frustrating.