Bitcoin block hashes are
expensive to manipulate, but not fundamentally
difficult to manipulate. All you need to do is bribe the miners. Let's say you strike a deal with AntPool, which mines about 10% of Bitcoin blocks. If they find a block with favorable entropy, they broadcast it; otherwise, they withhold it, and you compensate them for the missed coinbase. So if you only need to control 1 bit of entropy, you can expect this bit to be available within ~20 blocks, at a cost of one coinbase. Very expensive -- but not difficult.
In essence, the difference between Bitcoin and an aggregate scheme is that in Bitcoin, your control over the entropy is probabilistic and directly proportional to the number of bribed parties, whereas in an aggregate scheme, you have no control whatsoever until you manage to bribe every party, at which point you gain full control.