I've used the Hove turner for both std. and quail eggs. I would think the LG both similar. I have Dutch bantams. They lay one of the smallest eggs of all the bantam breeds and the quail racks are too small. Good luck to you.
I have the "regular" egg racks and the Quail egg racks for my turner. My Bantam eggs fit fine in the "regular" egg racks, but are about twice too big for the Quail egg racks (those Quail eggs must be tiny!!)
Just about the only egg I have incubated that the LG turner would not hold were button quail. They slip right through the holes. Bantam eggs will fit just fine. You could get some pheasant egg racks, if you want to set more eggs, but they are not necessary.