The hash algorithm may be the same, but the input to that algorithm is NOT the same.
When working on a BTC block, the input is the 80 byte BTC block header dependent on the list of BTC transactions in that BTC block.
When working on a BTU block, the input is the 80 byte BTU block header dependent on the list of BTU transactions in that BTU block.
Since most BTU transactions won't be valid in the BTC blockchain, and most BTC transactions won't be valid in the BTU blockchain, it wouldn't be possible to have both 80 byte headers be identical (since they are both dependent on different lists of transactions). Therefore, the output for a BTU block won't be valid for a BTC block (or vice versa).