Потому что он не подходит для граждан Турции и Азербайджана

https://www.gov.cy/en/information/visas/

Moreover, the following categories of third-country nationals, outside the EU/EEA, as well as passport holders of the countries listed separately below, are NOT required to hold a visa to enter the Republic of Cyprus as follows:
• Holders of a valid Schengen visa for two or multiple entries, as well as holders of national visas and residence permits issued by Schengen Member States are not required to hold a short-stay visa to enter the Republic of Cyprus for a period not exceeding 90 days in any 180-day period. Turkish and Azerbaijani citizens are exempted from the above provision.

@goodlys имейте в виду