The FAQs on Social Media Collection (linked from the general visa FAQ page) lay out the US State Department's official views on the matter:
A response to the questions related to social media will be required. Visa applicants who have
never used social media will not be refused on the basis of failing to provide a social media
identifier, and the form does allow the applicant to respond with "None." Applicants should
complete the application as fully and honestly as possible to avoid any delays in
processing. Failure to provide accurate and truthful responses on a visa application or during a
visa interview may result in denial of the visa by a consular officer. In the case of an
applicant who has used any of the social media platforms listed on the visa application in the
preceding five years, the associated social media identifier would be required on the visa
application form.
So, officially, if you have an account, including a private one, on any of the listed services, omitting it would be failure to provide a truthful answer to the question and thus a potential reason for a visa denial. I do not know the odds of detection in this instance.
Note that you are not required to provide passwords or other means of accessing private profiles, only to list your handles. The Department says:
Consular officers will
not request user passwords nor will they have any ability to modify privacy controls
applicants may have implemented on these platforms.
You are welcome to find these reassurances unsatisfying, but, unfortunately, unless you have sufficient influence to change US policy on this, your only practical options are to comply with the requirements, to lie on the form and hope you evade detection, or to not apply for a US visa.