"On-hit" bonuses will only come into effect with a regular [Left Mouse Button] attack (only for actual wand attacks).

After experimenting on my good friend, Practice Dummy with Big Dog:

Here is my normal attack:

Here is my alt. attack:

As you can see, with the Alt. Attack, there is no +5 Health tooltip on my character.

Also, Alt. attacks don't charge the charge bar.

This would be the same for "On-hit" bonuses on other items like helmets etc.

"On-hit" bonuses will only come into effect with a regular [Left Mouse Button] attack (only for actual wand attacks).

After experimenting on my good friend, Practice Dummy with Big Dog:

Here is my normal attack:

Here is my alt. attack:

As you can see, with the Alt. Attack, there is no +5 Health tooltip on my character, so they don't count towards "On-hit" bonuses.

This would be the same for "On-hit" bonuses on other items like helmets, etc.