Which Weapon mods benefit Spectral Throw Shield?

Not sure exactly which modifiers on the weapon would improve SST damage.

I know the Physical % and added damage won't add to the shield damage.

What about Critical chance? Critical damage? Chance double damage?

Chance to bleed, impale?

Attack speed on weapon won't help right?

Critical strike chance and attack speed are local.

Chance to impale is local, but I think that impale effect is global. I am not 100% sure regarding the latter.

"Chance to cause Bleeding on Hit" is local, but "Attacks have #% chance to cause Bleeding" is global.

"Increased damage with Bleeding" and "increased physical damage over time" are global, "Damage over Time Multiplier for Bleeding from Hits with this Weapon" is a global modifier that however obviously does not apply to a shield or other weapon.

Generic damage over time multiplier or type specific damage over time multiplier are global.

Double damage is global.

Attack speed if you have killed recently is global because it is a conditional modifier. Minion attack speed can also be a global attack speed modifier if you get Spiritual Aid (presumably by anointing it).

Chance to intimidate is local, chance to blind and taunt are global, and so is chance to gain onslaught on kill.

I could try to list all possible stats, but you really should just go through them yourself on poedb.

Id prefer "Gain X% of Physical damage as extra Y damage" modifiers from influenced weapons

and crit multiplier if you are crit based