Got stores data in a probabilistic tree (GotKV[0]). The number of nodes before you get to data will scale logarithmically with the size of the entire filesystem, not the depth of a specific object.
Then there is the issue of large files. A file in Git is always 1 blob. Syncing a large blob is not easy because if you are interrupted and have to restart, you have lost all your progress. You can't verify the hash of a blob until you have the whole thing. Got has a maximum blob size, so you'll only be buffering <2MB at a time before you can verify that the blob is correct. If a transfer is interrupted, the most you'll have to repeat is one blobs worth, plus any tree nodes above that blob.
Compared to rsync, Got uses variable size chunks and a faster content defined chunking algorithm, recently featured here on HN[1]. I haven't thought about if variable vs fixed chunks is better for file transfer, but for version control, the higher chance of convergence is important. It means you have better deduplication.