The two main factors in distance control are strike and active hands. If we assume good centered strike, the next source of inconsistency is hands/wrists, as @jon says.
Clearly, we’re looking down a really deep rabbit hole. Hand-dominance, pop-strokes, even questioning if the “quiet hands” crowd is correct; there clearly are/were good putters with active hands. But to keep things practical, what we’re looking for is consistency. Most of us probably not going to get that with active hands/wrists.
So, does jumbo grip help you quiet your hands/wrists? Or adjusting your grip? IMO whatever works for you. I’ve battled bouts of “wristy” even with jumbo, but can’t blame the grip; problem between ears.
Personally I’m right-hand dominant, so jumbo with ‘prayer’ grip helps me take wrists/hands out of the equation. Remember, the grip on the putter and your hands on the putter are a combination. Together, the objective is to spatially connect the putter face and the sternum.
Hope this helps!