Whether you paid for medical care out of your own pocket or your health insurance covered it is none of a claims adjuster's business. The same goes for whether your lost time at work was covered by sick leave or vacation pay. In fact, it is improper for an adjuster even to ask about such payments. You paid for your health insurance and earned your sick leave or vacation pay; now the insurance for the person who caused the accident has to pay.
Your own health insurance, however, may require that, out of your settlement, you reimburse it for some or all of the amounts it has paid to treat your injuries.
For an excellent guide through the insurance claim process, see How to Win Your Personal Injury Claim, by Joseph Matthews (Nolo).