Associational burden of a petition oath swearing to the lack of present intent to vote in a primary election for the contest in question is an insubstantial, and there are policy arguments in favor. Those signing are presumed to know the law, and therefore that the lack of present intent to do so doesn't keep them from actually voting in the primary--the deterrent effect as to the associational burden on the petition signing isn't to be considered under per se/strict scrutiny.
Since 2011. An occasional commonplacing of the U.S. Circuit Courts of Appeal.
Neither an authoritative statement of the law nor legal advice. Quick work.