The question is not whether you have to file 1099's for out-of-state vendors, but what Wisconsin is going to do to punish you if that happens?  Six months' probation with no cheese and beer allowed?  One software vendor says,

"If there is no state tax withholding, the IRS will automatically forward your federal 1099 forms to the state agency since Wisconsin is part of the CF/SF program."

https://www.taxbandits.com/form-1099-series/wisconsin-state-filing-requirements/