Avenging Crusader and 2H?

Still a lowbie here, so I’m not sure if there will be any 2H with Int, but the question remained: Will 2H be a better choice than 1h+shield if I’m going for the Avenging Crusader build, since 2H logically hits harder?

Then I looked at my Crusader Strike: With a 2H at ilvl 232 it deals 1698 damage, but with my 1H+Shield (ilvl 222+229) my CS deals 1986 damage, somehow 1H is dishing out more damage than 2H. Is it intended?

All ability damage is based on attack power/spell power now, weapon damage only matters for auto attacks.

So 2H is in fact worse than 1H for Avenging Crusader build then? Since healing coming from AC is based on CS.