I don't know about "most".
My newer lathe is the 3 shaft design and also has a gear rack that runs the length of the bed.
My old lathe is not a mini lathe by any stretch of the imagination. I'd guess it's bed is 6ft long. It is just old. It has only one shaft and no rack. The one shaft has no keyway slot. Power Feed is done with the half nut. The half nut is sloppy as hell but it has not changed since I got it. I did some amazing work on that old girl. She taught me most of what I know.
I don't think this is an either or situation. I think they come in all kinds somewhat loosely depending on vintage, cost and size.
I have not been with enough different lathes to know how most are built. I like em all!
Both the Logan and CX707 have a gear rack running on the top side.
I think the big difference is long term accuracy and wear on the lead screw assemble (split nut included). I believe the single lead system creates more wear as the split nut does all functions.
With the multi-shaft system the rack takes the wear for feed and lead screw for threading. While wear on the rack is one of those things for regular feeds doesn't make an issue, a worn lead screw/split nut effects the thread as this what determines the accuracy.
Again thing age/size of machine and intended market.
As the machines scale down in size it becomes a head stock and carriage limitation on how much mechanicals can be installed along with cost.
ie: Would pay $5800 for a 13x36 or $5800 for a 10x22 (with the 3 rod system) or $3400 for a 10x22 without. The cost difference between last two is the mechanics as while cast iron does add some cost is a small portion vs the extra hardware and time to set up.