Clean and unclean animals was 100% ceremonial law given to Israel, as proven by the fact that before, and after, the law of Moses was given, all animals are okay to eat.
God told Noah post flood, and before the law, that if it moves, he can eat it:
Gen 9:3 Every moving thing that lives shall be food for you. And as I gave you the green plants,
I give you everything.
And in the new Covenant, Peter learned in Acts 10 that the gentiles, who were considered unclean and completely outside of Gods covenant because they ate unclean meat, could now enter into the new covenant, because God told Peter three times that laws of clean and unclean animals were ended, and that he could kill and eat them.
Then in the passage that Paul was talking about eating meat in, he state that there is nothing unclean of itself:
Rom 14:2 For one believeth that he may eat all things: another, who is weak, eateth herbs.
Rom 14:14 I know, and am persuaded by the Lord Jesus, that there is nothing unclean of itself: but to him that esteemeth any thing to be unclean, to him it is unclean.
Rom 14:15 But if thy brother be grieved with thy meat, now walkest thou not charitably. Destroy not him with thy meat, for whom Christ died.
Finally, Jesus tells the Jews who considered that eating unclean animals defiled the body, that there is nothing you can eat that defiles a man, for its what comes out of a man from his heart, that defiles him.
It’s pretty clear that unclean animal law was absolutely ceremonial in nature, and peculiar to the law of Moses.
Before and after the law, animals were not unclean.