Final answer:
The ability of public members appointed by the lieutenant governor in council to be voting members depends on the rules of the governmental system and the legislative body they serve on. Typically, appointed members in systems where the executive appoints can vote, but this may not be the case in systems where appointed members solely have advisory roles.
Step-by-step explanation:
Are public members appointed by the lieutenant governor in council a voting member? The answer to this question depends on the specific governmental system and the rules in place for the legislative body or council. Generally, in parliamentary systems, when a lieutenant governor in council or equivalent official appoints members to a legislative body, these members may have the power to vote. For example, in systems where the executive has the authority to appoint, like the governor-general in the Bahamas, those appointed to the Senate are often voting members who take part in the legislative process. This is in contrast to some other systems where appointed members may not have independent legislative authority and may not be able to vote on legislation due to their roles being more advisory or ceremonial, as in the case of Bahrain's National Assembly's Consultative Council or Brunei's legislative council.
Additionally, it's important to consider that methods of selection and appointment matter, as they can indicate whose interests these members represent. Often, the figures who possess the power of appointment may influence the legislative priorities and values of the appointed members. Thus, whether appointed members are voting members can be a complex issue, intertwined with the structure of the government and the nature of the legislative body they serve on.