Exactly!
That is why Peter was blessed by Jesus when Peter was the first to get revelation from the Father of who Jesus WAS! Jesus told Peter that this is what the church of God shall be founded on.... The Father revealing the Word/Son to us in the flesh and the meaning by His Spirit, while the Son or Word reveals the Father to us in Spirit & Word which are Truth.
Matt 16:15-20
15 He saith unto them, But whom say ye that I am?
16 And Simon Peter answered and said, Thou art the Christ, the Son of the living God.
17 And Jesus answered and said unto him, Blessed art thou, Simon Barjona: for flesh and blood hath not revealed it unto thee, but my Father which is in heaven.
18 And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it.
19 And I will give unto thee the keys of the kingdom of heaven: and whatsoever thou shalt bind on earth shall be bound in heaven: and whatsoever thou shalt loose on earth shall be loosed in heaven.
20 Then charged he his disciples that they should tell no man that he was Jesus the Christ {The living Word}.
KJV
Saved and inherit the kingdom of God are two different things. The Eunuch was saved, but he was not chosen. The reason I say this is because while he did believe Jesus was the Son of God and was baptized in the water, it never said the Spirit of God fell or came into him. It only shows that the Spirit took Philip away as they came up out of the water. The reason is because the Eunuch was depending on man to teach him what God's Word meant... those who are chosen will be those who put their faith in the Spirit of God to REVEAL directly what God's Word MEANS personally.. no second hand understanding of man's infallible knowledge.
Acts 8:29-40
29 Then the Spirit said unto Philip, Go near, and join thyself to this chariot.
30 And Philip ran thither to him, and heard him read the prophet Esaias, and said, Understandest thou what thou readest?
31 And he said, How can I, except some man should guide me? And he desired Philip that he would come up and sit with him.
32 The place of the scripture which he read was this, He was led as a sheep to the slaughter; and like a lamb dumb before his shearer, so opened he not his mouth:
33 In his humiliation his judgment was taken away: and who shall declare his generation? for his life is taken from the earth.
34 And the eunuch answered Philip, and said, I pray thee, of whom speaketh the prophet this? of himself, or of some other man?
35 Then Philip opened his mouth, and began at the same scripture, and preached unto him Jesus.
36 And as they went on their way, they came unto a certain water: and the eunuch said, See, here is water; what doth hinder me to be baptized?
37 And Philip said, If thou believest with all thine heart, thou mayest. And he answered and said, I believe that Jesus Christ is the Son of God.
38 And he commanded the chariot to stand still: and they went down both into the water, both Philip and the eunuch; and he baptized him.
39 And when they were come up out of the water, the Spirit of the Lord caught away Philip, that the eunuch saw him no more: and he went on his way rejoicing.
40 But Philip was found at Azotus: and passing through he preached in all the cities, till he came to Caesarea.
KJV