Haki and its consequences have been a disaster for VSBW denizens.
This could be useful for Zoro maybe
It could, but it won't because Askin will either develop an immunity towards Zoro's Haki/physical strength, or put him down with The Death-Dealing, or most likely, a combination of both.
Oh yeah forgot Busoshoku Haki users have resistance negation which could be useful to bypass Askin's invulnerability to Zoro's prior attacks
Askin's Immunity is derived by manipulating the "lethal dosage" of his opponent's attacks, which fundamentally is, manipulating the lethality of it, similar to how he manipulates the toxicity of particular substances. Nothing like this exists in One Piece from my knowledge, which means assuming Haki's Resistance Negation would affect it is unfounded, and only presumed true for debating purposes.
This is also not discussing if Haki's Resistance Negation can extend to abilities/effects that aren't derived from Devil Fruits, but since I don't know for sure, and don't think it matters much as of now, I'm fine with presuming that it does until it's it becomes important to the conversation.
And resist to Askin's resistance negation of poison (Zoro already has resist to poison manip tho it's limited)
Resisting general Resistance Negation is completely non-analogous here since Askin isn't targeting a particular ability, inherently. He can target the literal air molecules and atoms that constitute matter, and make those substances poisonous to Zoro, which is something Haki wouldn't protect him against as it hasn't been shown that level of defense against something that fundamental.
Also, resisting Poison Manipulation wouldn't protect you against The Death-Dealing completely, as The Death-Dealing isn't Poison Manipulation in the sense of generating and applying a substance to another, but is rather manipulating the metric in which Poisons and other corrosive substances are measured in terms of their toxicity to organic structures, like humans. He's literally manipulating the fundamental metric of toxicity itself, which means any level of resistance to Poison Manipulation can be overcome by increasing the toxicity of a particular substances in or around the body, such as air or even the energy system used by the character, like Haki.
All in all, I don't see Zoro being able to defeat Askin before Askin puts him down with The Death-Dealing, or molecularly deconstructs him with Sklaverei. So, my vote is for Askin via these reasons.