Despite being perhaps the most benign example anybody could come up with off the top of their head, In-N-Out has actually already been targeted as having racist and ageist hiring practices:
The class action suit, brought by a Berkeley law firm, claims that the Irvine-based fast food chain with the cute paper hats "recruits, hires and maintains a work force that is predominantly under the age of 40 and/or non-African American." Out of 210 locations and thousands of employees, "very few" are older than 40 years old or black. The suit is also calling for a payout in the form of back pay, compensatory damages and punitive damages on behalf of everyone over 40 and/or not white that In-N-Out has wronged with their allegedly unlawful hiring practices.
https://sfist.com/2012/09/06/new_lawsuit_accuses_in-n-out_bu...
I suppose that, by implication, it would be par for the course for their corporate culture to be accused of supporting white nationalism by anyone looking to nail them on something.
Unless a company is aggressively promoting itself as anti-racist in a very public way, it's very open to this sort of criticism (regardless of whether-or-not there's any actual merit in it).