This statement is not entirely true.
In Bush v. Gore the Florida Supreme Court erroneously ruled that an ambiguity in the wording the recount provisions of the Florida Constitution permitted selective recounts.
Whether that finding was in good faith or not (it certainly wasn't) it is now mooted by the Supreme Court's 7-2 decision in Bush v. Gore. In that decision, the Court held that a selective recount of precincts or counties for a statewide office was an Equal Protection Violation of The Fourteenth Amendment.
Liberals like to pretend the court ruled narrowly. No, it did not. In an additional stipulation, the Court ruled 5-4 that there was not sufficient time to conduct a state recount in keeping with the "safe haven" provision of both Federal Law and the Florida Constitution That was the 5-4 part of the ruling.
State's still govern their own elections, but they their rules can not violate parts of the Federal Constitution incorporated against them by Amendment XIV. It thus no longer matters what Florida (or any other state) has to say about a recount: Since 2000 a recount for a statewide result must now include the whole state, without regard to what a state's provisions may be.
ping
Thanks for the correction.