Part manufacturing, part cost.
MLCCs are laid down layer by layer. More layers = more time.
You can simply use a wider chip, but that has manufacturing problems (yield?) and reliability problems (more body size = more vulnerable to cracking). IPC doesn't recommend bigger than 1210 size caps; I'd be okay with 1812s, but nervous about larger sizes. (Larger sizes are usable either in lower reliability or lower vibration applications, or with flexible terminations or leadframes.)
OTOH, electrolytics are very simple to build (foil is mechanically and chemically prepped, then wound into rolls and shoved inside a can). Polymer caps, I think, have more steps and the electrolyte is kind of expensive (it's an organic polymer, but synthesizing special ones that happen to be usefully conductive isn't as straightforward as making polyethylene!). Tantalum caps scale very easily (they're a slug of porous tantalum metal, coated with electrolyte; that slug can simply be as big as you like*), downside is, tantalum itself is kind of expensive to mine and isolate.
*Given limitations of reasonable ESR, that is.
Polymer caps are king right now, for large values and low impedances. Take apart a laptop, video card, or any high power computer hardware along those lines (maybe cell phones and tablets too) and you'll find oodles of them.

Tim