Trump has made it clear if you read between the lines that what he is doing to Iran is intended to secure Israel. Netanyahu has made it abundantly clear that Israel is a grateful beneficiary of Trump's actions against Iran.
The whole dynamic of USA vs Iran is centred around Israeli security. Right or wrong, it is what it is, and the American public - apart from deliberate deniers - are aware of this.
For this reason, the US does indeed have an interest in covering up or downplaying casualties. USA is functioning as a hired mercenary in this situation. Blowback would be huge.