Unconscionability in Louisiana

Can a Louisiana court refuse to enforce this contract, or a term of it, simply because the price or bargain was grossly one-sided?

Generally no for an ordinary commercial contract, but the flat version of that answer is wrong. Louisiana has no unconscionability doctrine running across all contracts, and the analogous civil-law doctrine is LESION, available only in the specific cases a statute names. It does, however, have a statutory unconscionability power in one named field, and that one reads like UCC § 2-302: La. R.S. 9:3551, headed "Unconscionability", provides that "With respect to a consumer credit transaction, if the court as a matter of law finds the agreement or any clause of the agreement to have been unconscionable at any time it was made the court may refuse to enforce the agreement, or it may enforce the remainder of the agreement without the unconscionable clause, or it may so limit the application of any unconscionable clause as to avoid any unconscionable result". The same section carries its own answer to most arguments under it: anything "expressly permitted by this chapter or any other law or regulation of this state or of the United States or subdivision of either" is not unconscionable. So the first question is not whether Louisiana knows the word, it is whether the deal is a consumer credit transaction. Civil Code art. 1965: "A contract may be annulled on grounds of lesion only in those cases provided by law." The Louisiana Supreme Court applies this as a genuine closed list, not a general fairness backstop: in McCarthy v. Evolution Petroleum Corp., rejecting a claim that a mineral-lease purchase price was inadequate, the Court held that "an allegation of inadequate price paid for a mineral interest is the essence of a lesion claim, but is not actionable," and that "plaintiffs' allegations of insufficient price are claims of lesion, which are barred by Article 17" (Mineral Code Article 17, which the Court quoted: "A sale of a mineral right is not subject to rescission for lesion beyond moiety"), adding "See also La. C.C. art. 1965 ('A contract may be annulled on grounds of lesion only in those cases provided by law.')". The result was dismissal: "Thus, plaintiffs have no cause of action", the appellate court reversed and the exception of no cause of action reinstated, with the Chief Justice dissenting and one justice additionally concurring. That is art. 1965 operating as written: lesion exists only where a law grants it, and there a law withdrew it (the classic example being lesion beyond moiety in a sale of immovable property, art. 2589 and following, not itself read for this rule). A distinct, narrower Code doctrine governs an unlawful BARGAIN rather than an unfair price: art. 1968, "The cause of an obligation is unlawful when the enforcement of the obligation would produce a result prohibited by law or against public policy," naming gaming, gambling, and unauthorized wagering as examples.