Depends on the state (there are even some states where the very breath of mentioning insurance can potentially net a mistrial. But that's going away, as the existence of insurance is common and pretty damn obvious a lot of the time). The ability
to pay is generally not considered germane when it comes to fault.
BTW, most plaintiffs in civil cases sue for monetary damages, just as a matter of course, or it's a part of the case. Delaware is one of the few states left where civil and equity cases are still handled separately (Delaware has equity courts for injunctive relief, etc. called the Chancery Court).