Provisions in §§ 58.1-609.1 through 58.1-609.11 of Chapter 6 relating to exemptions, §§ 58.1-635 and 58.1-636 relating to penalties, and § 58.1-625 relating to the manner of collecting the local retail sales and use tax applicable in Chapter 6 (§ 58.1-600 et seq.) of this title, shall apply mutatis mutandis to the short-term rental property tax, except that the commissioner of revenue shall assess the tax due, and the treasurer or director of finance shall collect the short-term rental property tax, instead of the Department of Taxation. Any other provision in Chapter 6 shall apply if adopted by local ordinance pursuant to § 58.1-3510.6.