We are not tax attorneys and therefore cannot offer tax advice, however, a requirement to pay income tax is always attached to the performance, or request for performance of some privilege, such as engaging in commerce effectively connected with a government office.

If you have rescinded your SSN, yet engage in such exclusively taxable and privileged activities that would result in the assessment of the income tax, then yes, you would be liable for that tax.  If you do not engage in such activities, then no, you would no be liable for that tax.