However, the passage says, “Though He was a Son, yet learned He obedience from the things that He suffered, and being made perfect, He became the author of eternal salvation to those who obey Him”. Is “belief” an active part? Of course. But more is involved.
Some simply do not want to admit that obedience is commanded by the Lord. Luke 6:46 says, “Why do you call Me “Lord, Lord” and do not do the things which I say?”
Matthew 7:21 also makes it clear that many will say, “But Lord” …and then they begin to list all they have done for the Lord. It sounds like they were obeying Him, but it was not heart felt obedience. Remember the widow who gave 2 mites and was commended for it; while many gave much more and were condemned for it? Why? Because the heart of giving is the giving of the heart.
Jesus told of two sons whose father owned land. He told them to go and work; one son said “no” but, later went and obeyed his father. He repented of his disobedience.
It’s sad to think of those who believe that “belief alone” is all that is necessary. Saying without doing will cost many condemnation. Read Luke 14.