I'd add a 4th way:
Mathis simply got his last observation (which I corrected above) wrong. For example, it was Republicans who voted for the first suffrage bill in 1915. The Equal Rights Amendment (ERA) was supported by Republicans as far back as the 1940s; the Democrats largely opposed it until the early 1970s. The Thirteenth Amendment, abolishing slavery, was originally introduced in the House and Senate by Republicans.