I wouldn't, because borrowers are compensated for the risk through the payment of interest (or other services, such as free transactions). A deposit at a bank is just like any other kind of investment: you get a reward because you took a risk.

It's also worth pointing out that bank runs are incredibly rare events. In a correctly functioning market, a bank can always pay its depositors by securitizing its loans. In a dysfunctional market (such as now) there are usually government guarantees that help smooth the process. The big problem with banks at the moment is that they have been keeping insufficient capital to cover their losses. Insufficient reserves has not been a problem.