i think the (cursed) bind demon just casts curse on the first monster he hits and the area of effect corresponds to the curse level.
does not matter at all if the minions are wounded or not - spreads to full HP minions too.
so it does not matter at all if he has holy fire, etc. - best to get one with conviction + cursed
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Having an aura such has holy fire/shock/freeze is best you can have since every often the whole screen will get amped
Which is much much better than having to wait for your demon to actually hit a target (which is often slow due to ar check and block)
Aura is the best way to spray curse on the whole screen
If you're playing a fire warlock or blood boil then conviction is also importent ofc since you're doing mostly elemental damage (blood boil being both a conviction/curse is prob the best)