Yes, if built per the FBC-B based on the 4 story height and not meeting the limitations found for the FBC- Residential.
Table 504.4, R-3 lists NS with footnotes d & h; a 13R system and a full 13 system.
Footnote d. is only used in evaluation of existing bldg. height per the FBC-Existing.
Footnote h is for new group R occupancies and sends you to Section 903.2.8
Section 903.2.8 requires installations in accordance with 903.3.1.3 (R-3)
Section 903.3.1.3 is for the NFPA 13D sprinkler system.
Yes, fire sprinklers would be required in any one or two family residence constructed under the Florida Building Code-Building. The 903.2.11.3 is just a exception from the blanket statutory requirement in 553.895. The provisions of 903.2.11.3 does not create an exemption from 903.2.8.1.
I think the above is consistent with what the intent of Linda wrote but the requestor is writing the question as a negative so, we need to be careful with how the answer is phrased. This appears related to the other informal we just completed.