Low Flare balls are just that low flare balls; they have no specific purpose except that of the ball itself. Remember that cover/surface is most of the ball reaction.
From what I have used and from what I have seen, Low flare non-shiny solids can be control balls. The operative word is "Can". More of the ball reaction depends on the coverstock and its surface than on the core and the drilling.
I have seen polished low-flare pearls be as flippy as any large flare polished pearl. The low flare doesn't make it controllable. The low flare just reduces the overall hook and tends to add length before the ball hooks. A low flare ball can be just as uncontrollably flippy as a large flare. The only difference may be the amount of backend, NOT the sharpness or flippiness of that backend.
A friend's IQ Tour Solid, a notoriously controllable ball, is one of his strongest backending balls and he is speed dominant.
So for the majority of cases a low flare ball's purpose is to hook less than a large flare ball, all other factors being equal. Once you factor in what the coverstock is designed to do TOGETHER WITH the core, then and only then can you decide on the controllability factor of the entire as-drilled ball.