Yes, I understand. I was thinking about: a) smart contracts controlling something within the encrypted data based on publicly available data; b) encrypted key

Yes, I understand. I was thinking about: a) smart contracts controlling something within the encrypted data based on publicly available data; b) encrypted key-value store where you traverse the tree structure based on encrypted query and encrypted tree buckets, but get a publicly available result about which bucket is next (similarly to how it was done in Arx paper using garbled circuits).