We need to get rid of the core-vulnerability before changes like this become reasonable, as it has been already pointed out that a bleedthrough would only make it easier to drill and kill a ship. Moving the target from core to the dimensional center of the ship might be the shortest way to fix this, and would in general make battles more interesting, since you'd actually have to focus crippling the enemy, not just shoot at clearly marked spot until you reach the core.
Dismissing the drilling factor, I'd actually rather have the bleedthrough depend on the attackers weapons system, not the receiving shield system. Heavy enough weapon would make more sense punching (bleeding) through the shields than allowing somebody to destroy blocks through shield with laser pistol. I'd imagine that we might actually see shields collapsing altogether with heavy enough impact, i.e. massive collision. (But at this point we'd also need some kind of phasing, hyperspace or deflectors just to not turn into swiss cheese while flying through space, so nothing like this is likely to happen anytime soon.)
Changeable power distribution could allow both traditional shields and bleedthrough shields, or in smaller scale just adjustable shield system. Harder shields with less bleedthrough could have less shield points, while softer shields with bleedthrough could have longer overall stamina.
I wonder how schema sleeps at nights, holding in his hands unlimited possibilities and facing equally unlimited opinions about them. He could be millionaire in a year, or accidentally flop the development and live happily ever after. :D