Yes, but it is a problem when we discuss these things. Most people are in favor of banning “assault-style weapons”, but people’s conceptions of what that means vary wildly.
This is just like asking if people support educating kids. Everyone wants their kids to be educated, but some want their kids taught that the earth is 6,000 years old and that climate change isn’t real, and others want them taught the history of systematic oppression in America.
As for the actual bans, I’m not aware of any " assault-style weapons" bans that didn’t ban something stupid because it looks scary. Many have included magazine capacity restrictions, which you can definitely make an argument for, but also regulated something stupid, like pistol grips on rifles.