As you mention, it really is an unimportant issue central to our faith and salvation, but Scripture definitely points to Jesus being crucified on the Passover as prophesied.
Among other sculptural evidence of this, Jesus, the night he was betrayed, said he desired to eat the Passover with his disciples. The “Last Supper” was the night of the Passover. That would have been after six o’clock (our Thursday night, but the beginning of the next Jewish day (ie. Friday)) so the new Jewish day would have already begun which would have been the same day as the day of preparation, the day before the sabbath (our Saturday).
The Passover meal and crucifixion was prophesied among other things in Scripture by the orginal passover when they killed the Lamb and the blood of the Lamb protected them.
And of course the Passover celebrates the Jewish Exodus from slavery and bondage - which is what the death and Resurrection of Jesus does for all mankind.
Almost 2,000 years before the crucifixion, when the pattern was repeated again, exactly:
Exodus 12 King James Version (KJV)
12 And the Lord spake unto Moses and Aaron in the land of Egypt saying,
2 This month shall be unto you the beginning of months: it shall be the first month of the year to you.
3 Speak ye unto all the congregation of Israel, saying, In the tenth day of this month they shall take to them every man a lamb, according to the house of their fathers, a lamb for an house:
4 And if the household be too little for the lamb, let him and his neighbour next unto his house take it according to the number of the souls; every man according to his eating shall make your count for the lamb.
5 Your lamb shall be without blemish, a male of the first year: ye shall take it out from the sheep, or from the goats:
6 And ye shall keep it up until the fourteenth day of the same month: and the whole assembly of the congregation of Israel shall kill it in the evening.
7 And they shall take of the blood, and strike it on the two side posts and on the upper door post of the houses (IMHO a prelude to the sign of the Cross), wherein they shall eat it.
8 And they shall eat the flesh in that night, roast with fire, and unleavened bread; and with bitter herbs they shall eat it.
9 Eat not of it raw, nor sodden at all with water, but roast with fire; his head with his legs, and with the purtenance thereof.