If Paul meant false teaching, the passage becomes absurd

If we read the verse as 'I do not permit a woman to teach falsely or domineer a man,' we get a statement that: (1) Says nothing unique about women — men shouldn't do this either; (2) Makes the creation order reasoning in vv.13-14 nonsensical — why appeal to Adam being formed first if you're just saying 'don't teach heresy'?; (3) Renders the passage toothless as a contribution to church order; (4) Would be the only place Paul issues a gender-specific prohibition against false teaching when he regularly addresses false teaching as a universal issue. The reading creates more problems than it solves.