Yes the fastest target will take damage, secondary effects will occur and then the miss message will appear (see 5:30 on the first test listed in the spoiler). I decided to look into exactly which messages will appear during an attack, here is the order from my tests.
Order of messages, message only appears if applicable
- Use move
- Attack Miss
- (Move Animation)
- Type resist berry (Charti, Chilan, Chople etc)
- (Damage is dealt)
- Critical Hit
- Anger Point
- Endure
- Super Effective/Not Very Effective
- Secondary Effects
- Ability Activations
- Rowap/Jaboca/Enigma Berry
- Target faints
- Target thaws (hit by Fire Type move)
- Attack Miss
- Type resist berry (Charti, Chilan, Chople etc)
- (Damage is dealt)
- Critical Hit
- Anger Point
- Endure
- Super Effective/Not Very Effective
- Secondary Effects
- Ability Activations
- Rowap/Jaboca/Enigma Berry
- Target faints
- Target thaws (hit by Fire Type move)
- …
- All targets have been hit
- Life Orb/Shell Bell (Shell Bell sums all damage dealt, so it does not round for each target)