And to any extent that the Dems may have poor polling on the issue it's really irrelevant because a polled voter may have a vague feeling of dissatisfaction with the Dems as a party over this, but it's unlike to actually stick to his own rep in the next election. In elections it's Presidents that get blamed for everything that happens on their watch.
Covid stuck to Trump 1, inflation to Biden, the shutdown will stick to Trump 2. As will be the increase in inflation -assuming we ever actually get a real measurement again.