To add to your argument jesus also said at Mathew 12 we desire mercy not sacrifice and at Mathew 15 nothing entering into a man can defile him. Last but not least in chapter 17 of Leviticus towards the end of the chapter it says it’s ok to eat an animal found dead or even sell it to the nations and if you did eat it you would only be unclean until evening.
An animal found dead would still have blood in it so it wasn’t unlawful to eat blood. The whole idea of this chapter was to say that life is precious and if you take an animals life pour out it’s blood out of respect for the animal you killed.