Passover lamb is Passover lamb. There is no other kind in Judaism. If Christ was compared to the Passover lamb then He was a thanksgiving meal.
But you are ignoring the abomination (in Judaism) of eating flesh and especially drinking blood (of any species).
That is why its says, “The Lamb of God who takes away the sin of the world.”
There is no such lamb in Judaism. Only a goat. And that goat is not a "Passover" goat but a scapegoat (Yom Kippur). Lambs do not atone for man's sins in Judaism, goats do.
You are not offering any explanations as to why are all these unusual and, for Judaism, alien and repulsive things being said. What they hear is blasphemy: cannibalism, and distortion/profaning of the Exodus.
The Lamb interceded. Certainly, I’m thankful for that, but the purpose of the blood was not so that I’d be thankful
In this particular case (Passover), the blood was merely a marker. The lamb who died for Passover saved the Jews from the wrath of God's Spirit, or so the story goes. So it was the lamb's blood that led to the deliverance of the Hebrews from captivity. The symbolism of Christ's blood delivering Christians from the captivity of death is directly related, but as far as Judaism is concerned (and at that time there were no Gentile Christians), the story is froth with incompatible practices and sayings.
With this you acknowledge that the Passover Lamb was interecessory. And it is a fact that the Lamb offered as a guilt offering was also intercessory.
He interceded for us through His shed blood. And the blood of the Passover Lamb was on the doorpost & lintel as intercession.
Those who feast on the sacrifice participate in the sacrifice. They are feasting on the intercession & they proclaim HIS DEATH until he comes.
These are basic things.
Even in communion, the great thanksgiving is for the intercession. It is not something that can be easily missed.