Acanthastrea will grow their own skeleton. Some species do it better than others.
A.lordhowensis would rather completely encrust the rock it's on first before putting on it's own girth by depositing skeleton. I've seen lords start to grow on the underside of the rock they are on.
A.echinata likes to encrust too, but not as much as lords. When they reach the end of the rock, they will plate out, creating a thick skeleton.
I have an Acan that may be either A.subechinata or A.echinata. It had a cone shaped base, and the top part of the cone was where all the flesh was. When I was making frags of this coral, I cut the pointy tip of the cone off the base to make it easier to frag. And to my surprise, it was not rock at all. It was a perfect cross section of corallites. This coral must have started out as just a few polyps, and deposited about a lb. of skeleton. As it grew, the head of the coral got bigger, making the cone shape.
I wish I kept that little nub of the cone. I never took any pic's of it.
As for the enchino, It's Echino, short for Echinophyllia. They are easy to keep. They can be kept under any type of lighting, provided they are slowly acclimated to higher light. They can be kept in low or medium flow, some accept foods, and the water does not have to be supper clean.
I keep most of my Echinophyllia on the bottom of a 40 breeder, with 2 96 watt PC bulbs.
Most of them are better colored under PC lighting than Halide lighting, in my experience. Especially the reds.