… what justifies using a rear mounted tool post over simply turning the tool upside down in the normal tool post and rotating the job clockwise instead of anti clockwise?
Whilst running upside down in reverse is an advantage, rigidity is the main reason for using a rear tool-post.
Comparison!
My front tool-post is a towering multi-jointed edifice. I’d describe it as spindly rather than solid, and it’s height causes it to increase forces by acting as a lever. All front tool-posts are bendy, especially those on small lathes.
When cutting, Newton’s third law applies: ‘when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction.‘ A front-tool post’s ability to resist ‘opposite in direction’ forces is limited by how much metal is in it, the height, the joints, and the route taken by reaction forces to ground.

In contrast rear tool-posts are a hefty solid block of metal firmly bolted to the saddle. They are much stiffer than a conventional front tool-post. Stubby with only two joints: the slot for the cutter, and where it joint the saddle. Leverage is minimised too: cutting forces are taken almost directly straight down into the saddle. It’s instructive to trace route taken by forces grounding through a front-tool post; it’s long and twisty – not ideal.

As front tool-posts go, though inferior to a rear type, the 4-way is fairly solid. As QCTP tend to be more spindly with extra leverage through the tool-holders, they are often less rigid. Therefore I suggest beginners think twice before rushing to fit them. Ask what’s more valuable in your workshop – is it rigidity or the ability to swap HSS tools quickly?
Dave