When Jessie Ventura was Governor of Minnesota and before he became a semi loony conspiracy theorist he argued that the bicameral legislature allowed both houses to pass the blame to each other.
There is actually a news story on this available on the internet (and it goes back to 1999.)
https://www.nytimes.com/1999/08/22/us/political-briefing-ventura-s-mission-turning-two-into-one.html
As Mr. Ventura sees things, the bicameral, or two-house, system of legislating is gummed up with partisan bickering and, worst of all, allows legislators to duck accountability by saying that shortcomings were caused by members of the other house. He wants the current two-house Legislature in Minnesota to authorize a statewide vote next year on whether to rewrite the state's Constitution and shift to a unicameral system.
I can confirm that this happens frequently in IL even with one-party control. Popular ideas that are not favored by leadership are passed separately in each chamber but neither version gets a vote in both chambers. The members all say they passed it but the other chamber blocked it. Sometimes the leaders let the chambers take turns calling the measure for a vote in alternate years. I'd say it happens with a few issues each year.