Back to the OP ("Old Post") - further observations
The registrar and assistant registrars are conservators of the peace. Election officials, poll workers, and members of the electoral board are NOT designated as conservators unless they are officially "assistant registrars". I take the position that since a conservator is vested with the authority to make arrests without a warrant in the same situations as would a sheriff's deputy or police officer, such a conservator is a "law enforcement officer".
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§ 24.2-114. Duties and powers of general registrar.
In addition to the other duties required by this title, the general registrar, and the assistant registrars acting under his supervision, shall:
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7. Preserve order at and in the vicinity of the place of registration. For this purpose, the registrar shall be vested with the powers of a conservator of the peace while engaged in the duties imposed by law. He may exclude from the place of registration persons whose presence disturbs the registration process. He may appoint special officers, not exceeding three in number, for a place of registration and may summon persons in the vicinity to assist whenever, in his judgment, it is necessary to preserve order. The general registrar and any assistant registrar shall be authorized to administer oaths for purposes of this title.
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This section makes a registrar a conservator of the peace, but limits the appointment by the phrase, "For this purpose..."; I think that, coupled with the other language regarding regulation of conduct of other people at the polling place, to mean that the registrar is only a conservator while acting in his official capacity in connection with actual voting. I don't think it matters where the registrar or assistants are located while engaged in official duties, as long as they're available to quell disturbances at polling places. So immediately before, during, and immediately after an election (and I think this extends to certification of results, since that is an activity related to the election for which personal protection may be required), the registrar and assistants are permitted to carry firearms where ever they go in the county, including a courthouse, but may not CC without a CHP. No one other than the Registrar and his offically appointed assistants have any power to make decisions about what constitutes a need for "preserving order", but they have primary authority in that regard - the (local sheriff or Police Department) has none ("expression unius est exclusio alterius").