On the contrary, the regular weekly Sabbath required a day of preparation because no work of any kind was permitted, including food preparation, so everything had to be done in advance.
On holy convocation days such as the ones bookending the feast of unleavened bread, servile work was forbidden (Lev. 23:7-8); however, food preparation was expressly permitted (Exod. 12:16).
So, in fact, there was less need of a preparation day in advance of a special Sabbath, than a seventh-day one.
And paraskeue is used exclusively in the Bible for the sixth day of the week, never for the day preceding a holy convocation. Except for the question of the crucifixion day, of course, and it would be arguing in circles to appeal to it to argue in favour of a Wednesday crucifixion.
15 Tishri 3757 - Sukkot / Birth of Yeshua
15 Nisan 3790 - (30 C.E.) Pesach / Crucifixion of Yeshua
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Strong's Concordance:
paraskeué: preparation, the day of preparation (for a Sabbath or feast)
NAS Exhaustive Concordance:
preparation, the day of preparation (for a Sabbath or feast)
Thayer's Greek Lexicon:
3. in the N. T. in a Jewish sense, the day of preparation, i. e. the day on which the Jews made the necessary preparation to celebrate a sabbath or a feast: Matthew 27:62; Mark 15:42; Luke 23:54; John 19:31
John 19:13 When Pilate therefore heard that saying, he brought Jesus forth, and sat down in the judgment seat in a place that is called the Pavement, but in the Hebrew, Gabbatha. 14 And it was the preparation of the passover, and about the sixth hour: and he saith unto the Jews, Behold your King! 15But they cried out, Away with [him], away with [him], crucify him. Pilate saith unto them, Shall I crucify your King? The chief priests answered, We have no king but Caesar.
John 19:31 The Jews therefore, because it was the preparation, that the bodies should not remain upon the cross on the sabbath day, (for that sabbath day was an high day, ) besought Pilate that their legs might be broken, and [that] they might be taken away. 32Then came the soldiers, and brake the legs of the first, and of the other which was crucified with him. 33But when they came to Jesus, and saw that he was dead already, they brake not his legs: 34But one of the soldiers with a spear pierced his side, and forthwith came there out blood and water. 35And he that saw [it] bare record, and his record is TRUE: and he knoweth that he saith TRUE, that ye might believe. 36For these things were done, that the scripture should be fulfilled, A bone of him shall not be broken. 37And again another scripture saith, They shall look on him whom they pierced.