Voters should care about this resolution because the President pro tempore is a significant leadership position within the Senate and an important figure in the federal government. This individual is third in the line of succession to the presidency, after the Vice President and the Speaker of the House. By formally electing and notifying the House of who holds this role, the resolution ensures clarity and stability in the legislative branch's leadership.

If this resolution didn't pass, or if this process wasn't followed, there would be a lack of formal communication regarding a crucial leadership role, potentially causing confusion in inter-chamber relations and the broader government structure. It matters because it confirms who will oversee Senate proceedings and helps guarantee a smooth functioning of government, which is essential for addressing the issues that affect everyday Americans.