Here's a use of 'modulo' by a mathematician working on the four-colour theorem quoted in Msrk Walters, "httpIt Appears That Four Colors Suffice://historyofmathematics.org/wp-content/uploads/2013/09/2004 A Historical Overview of the Four-Walters.pdfColor Theorem and elsewhere...(2004):
Shortly after testing the final configuration for reducibility, Appel celebrated the success by etching the statement ‘Modulo careful checking, it appears that four colors suffice’ onto the department’s blackboard.
Shortly after testing the final configuration for reducibility, Appel celebrated the success by etching the statement ‘Modulo careful checking, it appears that four colors suffice’ onto the department’s blackboard.
This follows the general sense 'A mod B' being 'A seems generally true but for B' but B is not necessarily an exception, but something to bear in mind.