Do Esoteric Antithesis + Implement's Empowerment potentially give +4 damage against all creatures at Level 1?

[The Rot Grub]

I just want to make sure I understand the rules as written:
-If Esoteric Antithesis is used against a creature that has no weaknesses, does it still have a custom Weakness against weapon Strikes from the Thaumaturgist?
-If yes, it looks like this combines with the Thaumaturgist's ability to effectively add 2 to their damage if they wield a one-handed weapon

The latter would be "make-up damage" to make up for the fact that they're not wielding a two-handed weapon, for a Thaumaturgist wants a free hand to hold/Interact with their implement.

Then, the Esoteric Antithesis gives, at the cost of two actions (or one action on a regular failure on the Recall Knowledge check), a +2 (plus half your level) bonus to damage with their weapon Strikes.

I just want to make sure I'm reading this all right.

[Golurkcanfly]

Yes. The Esoteric Antithesis is their native damage boost (like a Barbarian's Rage) and the Implement's Empowerment is an ability to let one-handed weapons catch up to two-handed damage.

[Dubious Scholar]

Note that Antithesis doesn't boost your damage at all if you're already hitting a weakness (that exceeds 2+half level... but basically all weaknesses on any creature are greater than or equal to 2+half the creature's level).

[The Rot Grub]

Got it. Thanks!