"Then Jesus spoke to the crowds and to His disciples, saying: “The scribes and the Pharisees have seated themselves in the chair of Moses." (Matthew 23:1-2)
What needs to be understood, however, is that the reference to Moses' seat was a symbolic expression of teaching the Pentateuch, which is the first five books of the Bible (Exodus 18:13-16; Luke 4:16-20):
"Keep the charge of the Lord your God, to walk in His ways, to keep His statutes, His commandments, His ordinances, and His testimonies, according to what is written in the Law of Moses, that you may succeed in all that you do and wherever you turn." (1 Kings 2:3)
So, this would actually be more supportive of Sola Scriptura because it emphasizes written revelation rather than oral revelation. Furthermore, this "Seat of Moses" would pertain much more to civil law than issuing religious dogma. Moses was judge; the priesthood constituted a theocracy. These Jewish leaders did not continually make up new laws, but rather upheld the laws that God had originally given to His people through Moses.
Roman Catholics assume without proof that there exists a logical connection between Moses' seat and their chain of so-called apostolic successors. They simply commit eisegesis by applying Matthew 23:1-2 to their church hierarchy. In fact, this Catholic argument is anachronistic. They cannot produce a single inspired saying of Jesus Christ or the apostles that cannot be found in Scripture. The New Testament says nothing concerning a chair of Peter, let alone apostolic successors. Christ says nothing in Matthew 23:1-2 about adherence to extra-biblical authorities or traditions. There is no evidence for a tradition of successors from Moses' seat. The Old Testament knows nothing regarding the existence of a "pre-apostolic succession." Neither is there any evidence existing that the Jewish people attributed infallibility to their leaders. In fact, we know from Scripture that the Scribes and Pharisees did indeed promulgate doctrinal error. They were even once referred to by Jesus as "blind guides" (Matthew 23:16).
Whatever teaching from the writings of Moses and the Prophets that the Scribes and Pharisees had enforced, Christ instructed the people to obey. He told them to not emulate the poor moral example of these teachers:
"therefore all that they tell you, do and observe, but do not do according to their deeds; for they say things and do not do them." (Matthew 23:3)
These religious leaders made themselves appear extremely pious and zealous in their daily religious practices before others, but God knew that their hearts were in reality far from Him. He knew that these Jewish authorities were only seeking flattery from the public. Their worship of God was fake, which is something that He absolutely detests. We should all take this passage of Scripture as a warning against arrogance.
If Jesus Christ had really instituted an infallible interpreter of Scripture, then why is it that He held people accountable for how they interpreted Scripture?:
"But Jesus answered and said to them, “You are mistaken, not understanding the Scriptures nor the power of God." (Matthew 22:29)
"And He said to him, “What is written in the Law? How does it read to you?” (Luke 10:26)