Well, here's a related but separate newbie question, though this time I already did the deed.
My Lonestar was making offsets and the rosette producing them was far too close to the edge of the basket I'd planted it in:
One offset was trying to grow into the basket side. So I lifted the whole thing, rosette and offsets, and repotted. Other, larger Lonestar rosettes remain in the basket. Which isn't great but okay for now I guess!
Here's the repotted rosette:
Here it is in position, in the border of this bed where other potted semps are doing really well:
(it's the pot on the farthest right.)
I'll know better in the future than to plant like I did in that basket! Live and learn. I hope the move didn't disturb the development of the offsets! but letting them squoosh into that basket just wasn't tolerable.