Well, if the independent legislature doctrine captures the Presidency for the state legislatures it’ll be a reassertion of the role in the federal schema they lost with the 17th Amendment taking the Senate from them, allowing FDR’s assertion of the imperial presidency and Executive Branch administrative state. Some of the 1994 “Republican Revolution” that gave Republicans Congress for the first time in decades was powered by promoted state legislators worked up over the federal-state balance; I remember “unfunded mandates” – the federal government committing states to pay for things from their own treasuries – being a particular sore point.