Does Crescent Strike target the 'other' enemy units at the chosen battlefield?

Ruling: No. Crescent Strike only targets the battlefield and the one enemy unit you choose. The "other enemy units" at that battlefield are programmatically selected based on their characteristics (location and controller), so they are not targets.

Nuances:

• Only the chosen battlefield and the initially chosen enemy unit are targets of Crescent Strike.
• Effects that care about targeting (such as protection from targeting or "when targeted" triggers) will not apply to the other enemy units dealt 1 damage.