Not all damage you take is resisted.
While this is a true statement, I don't think this in and of itself is a valid or strong enough argument. The cases where damage is unresisted is, as far as I can tell, always specifically called out. For example:
Cram is an extremely popular stimulant. When this drug wears off, users crash and suffer 6 Stun damage (unresisted).
And in this case, you actually did resist it, and with a bonus too: Power is described to be the DV, and Toxin Resistance is used to reduce it:
"Power serves as the DV of the attack."
"A Toxin Resistance test [...] is used to reduce the damage."
Yes and no. While power is unequivocally equal to DV, it is also it's own separate thing. And I think the rest of the Power paragraph is equally relevant:
Power tells how powerful the toxin is. For toxins that do actual damage, either Physical or Stun, Power serves as the DV of the attack.
The key lies in how you read the second part of your quote:
A Toxin Resistance test (Body + Willpower + the rating of any appropriate protective gear/systems) is used to reduce the damage.
"Reduce the damage" could refer to reducing the DV. Note that the text does not specifically say "resist the damage" and instead uses the term "reduce"; the term "Damage Resistance test" is capitalized in several places in the CRB, but not once is a "Damage Reduction test" mentioned.
Based on the above, I read it as the Toxin Resistance Test reduced the Damage Value of the attack; this is not a resistance test, but a DV modification similar to adding net hits to the Damage Value of a ranged or melee attack.
Edit: Meanwhile, "any other injury" means you can treat it like normal, not that you get an extra soak test. Injuries is what you get after the soak happened, after all. So if you take damage from Toxins, First Aid has to be applied within 1 minute of the end of the encounter, Medkits within an hour, etc, etc.
This is one aspect of "treated like any other injury, yes. But as far as I can tell, nothing in the rules as written specifically calls out that a Toxin Resistance Test is equal to a Damage Resistance Test, and given that "damage from toxins is treated just like any other injury" it is not clear to me that this only applies to healing tests, but is ambiguous enough to also potentially include a separate damage resistance test in addition to the toxin resistance test.
I will note that I do not think this is necessarily intended; I personally believe that a Toxin Resistance Test
should serve as a Damage Resistance Test, but can we at least agree that the text is ambiguous and could be interpreted differently by readers who only have access to the SR6 CRB? As it stands, this would once again be something I think would benefit from an entry in a Designer's Note document.
As someone who has played a lot of Warhammer over the past 30 years, where grammar, specific terms, and rules as written are debated endlessly, I really think Games Workshop has stepped up their game in the past few years by introducing extremely frequent Errata and FAQ/Designer's Notes documents where the intent behind specific rules are elaborated upon to clear up any misconceptions.