Your focus is on SIN, and whether what Jesus sacrifice on His cross saves us from sin or not, not the famine mentioned in Amos 8 for the end of this world of looking for the Word of God and not finding it. The Amos 8 Message is about believers also, 'searching', not about those who don't know what to look for. Read the Scripture, get its flow in the mind. Notice who God is speaking to, and then notice the endtime symbols He gives:
Amos 8:7-13
7 The LORD hath sworn by the excellency of Jacob, Surely I will never forget any of their works.
8 Shall not the land tremble for this, and every one mourn that dwelleth therein? and it shall rise up wholly as a flood; and it shall be cast out and drowned, as by the flood of Egypt.
9 And it shall come to pass in that day, saith the Lord GOD, that I will cause the sun to go down at noon, and I will darken the earth in the clear day:
10 And I will turn your feasts into mourning, and all your songs into lamentation; and I will bring up sackcloth upon all loins, and baldness upon every head; and I will make it as the mourning of an only son, and the end thereof as a bitter day.
11 Behold, the days come, saith the Lord GOD, that I will send a famine in the land, not a famine of bread, nor a thirst for water, but of hearing the words of the LORD:
12 And they shall wander from sea to sea, and from the north even to the east, they shall run to and fro to seek the word of the LORD, and shall not find it.
13 In that day shall the fair virgins and young men faint for thirst.
KJV
The 8 and 9 verses have symbols related to the endtimes, repeated in Revelation and by Lord Jesus in His Olivet discourse. Jesus was speaking to the foundation of His Church in His Olivet discourse about events leading up to His 2nd coming (Matt.24; Mark 13; Luke 21).
Verse 12 says they will run to and fro seeking The Word of The LORD, but they won't find it. So that's not the idea of those who haven't yet heard The Gospel. It's about brethren that are looking for understand about what's going on in the end. That is a Message for not hearing or understanding God's Truth in the last days.
There's a literal famine for understanding in His Word today; forums like this one are solid evidence of this prophecy being fulfilled today. Believers aren't getting spiritually fed by their Church 'systems of men', so they go online looking for clarification, study, etc. Problem with going online is, there's no guarantee you won't run into the wolves working for the devil, and cause you even more deception against The Word of God.
Understanding can ONLY come from God through His Son. Only Lord Jesus is worthy to open the Seals for us to understand these last days.