An attacker who can do those things could send you a different initial checksum as well. How does this solve that?
IIUC your question here boils down to "what is the point of a hash tree?" as opposed to e.g. a list of individual chunk hashes. The answer is that a hash tree lets you verify an individual chunk by looking at the hashes of O(log(N)) chunks rather than having to look at the hash of every chunk.