Many on "the left" have, and to pretend otherwise is foolish and undercuts the argument for those who want gun control.
Here is the reality:
A ban and confiscation would be necessary for significant reductions in US gun deaths. The only other alternative would be broad and difficult user-side restrictions relating to mental health and the like. Those, while viable, are not easy nor simplistically implemented. We should not abandon that latter discussion in particular, but it goes far beyond the "we're all in agreement, it's so easy!" plea. It's not easy.
So, when people on the left (or right, I suppose it doesn't matter) claim they want "common sense gun restrictions" that should already be in place, they're either a) advocating for something that likely won't make a difference, b) are ignorantly or intentionally misstating the scope of what would be required to put those restrictions in place or c) are lying/misleading about their end goals.
What would happen:
5 years from now, when enhanced background checks (unaccompanied by some broad new mental health database), closing the "gun show loophole" and magazine restrictions fail to significantly reduce firearm deaths, the "common sense gun control" folks will tell us those efforts weren't enough. Obviously, we need to do something more.
Now, most media and political commentators know nothing about firearms, so they may not appreciate that this future revelation - "we need to do more!" - was known from the outset. But entities, like the NRA, or like Everytown, already know this.
In short, when people claim "oh I don't want to take your guns" but advocate for other, "common sense" regulations, I predict, with high accuracy, that they either don't know what they're talking about, or they're lying.