The Pilate Stone states Pilate was a Prefect of Judaea.
The only physical, archaeological evidence that confirms the existence of Pilate is the Latin inscription found on a limestone block relating Pilate's tribute to Tiberius. The artifact, sometimes known as the Pilate Stone, was discovered in 1961 by an archaeological team led by Antonio Frova. It was found as a reused block within a staircase located in a semicircular structure behind the stage house of the Roman theatre at Caesarea, the city that served as Rome's administrative centre in the province of Judaea. Roman governors were based in Caesarea and only visited Jerusalem on special occasions, or in times of unrest. The artifact is a fragment of the dedicatory inscriptions of a building, probably a temple, which was constructed, possibly in honour of the emperor Tiberius, dating to 26–36 AD. The dedication states that Pilate was prefect of Judaea, read praefectus Iudaeae. The early governors of Judaea were of prefect rank, the later were of procurator rank, beginning with Cuspius Fadus in 44 AD. The artifact is currently housed in the Israel Museum, Jerusalem, while a replica stands at Caesarea.
Pasted from <https://en.wikipedia.org/wiki/Pontius_Pilate
This is an incorrect assumption
Here is a list of 7 Prefects of Judea before 44 AD and 6 of the 7 Josephus calls procurators.
Annius Rufua 12-15
Valerius Gratus 15-26
Pontius Pilate 26-36
Josephus's Antiquities, book 18
2. As Coponius, who we told you was sent along with Cyrenius, was exercising his office of procurator, and governing Judea, the following accidents happened. As the Jews were celebrating the feast of unleavened bread, which we call the Passover, it was customary for the priests to open the temple-gates just after midnight. When, therefore, those gates were first opened, some of the Samaritans came privately into Jerusalem, and threw about dead men's bodies, in the cloisters; on which account the Jews afterward excluded them out of the temple, which they had not used to do at such festivals; and on other accounts also they watched the temple more carefully than they had formerly done. A little after which accident Coponius returned to Rome, and Marcus Ambivius came to be his successor in that government; under whom Salome, the sister of king Herod, died, and left to Julia, [Caesar's wife,] Jamnia, all its toparchy, and Phasaelis in the plain, and Arehelais, where is a great plantation of palm trees, and their fruit is excellent in its kind. After him came Annius Rufus, under whom died Caesar, the second emperor of the Romans, the duration of whose reign was fifty-seven years, besides six months and two days (of which time Antonius ruled together with him fourteen years; but the duration of his life was seventy-seven years); upon whose death Tiberius Nero, his wife Julia's son, succeeded. He was now the third emperor; and he sent Valerius Gratus to be procurator of Judea, and to succeed Annius Rufus. This man deprived Ananus of the high priesthood, and appointed Ismael, the son of Phabi, to be high priest. He also deprived him in a little time, and ordained Eleazar, the son of Ananus, who had been high priest before, to be high priest; which office, when he had held for a year, Gratus deprived him of it, and gave the high priesthood to Simon, the son of Camithus; and when he had possessed that dignity no longer than a year, Joseph Caiaphas was made his successor. When Gratus had done those things, he went back to Rome, after he had tarried in Judea eleven years, when Pontius Pilate came as his successor.
Thus showing that Pilate held both offices, one as a military title ( Prefect) as stated in the inscription and one as a fiscal official, charged with collection of taxes ( Procurator) as stated by Josephus.