A shame so many get tripped up on the soil parable:
I happen to agree with your assessment of the 3rd soil, which in my mind is the least discussed, and most interesting soil.
The second soil people were NEVER saved. They were never created new. THEY HAD NO ROOT! Who is the Root? JESUS is the Root.
Matthew 13:
3 Then He spoke many things to them in parables, saying: “Behold, a sower went out to sow. 4 And as he sowed, some seed fell by the wayside; and the birds came and devoured them. 5 Some fell on stony places, where they did not have much earth; and they immediately sprang up because they had no depth of earth. 6 But when the sun was up they were scorched, and BECAUSE THEY HAD NO ROOT they withered away. 7 And some fell among thorns, and the thorns sprang up and choked them. 8 But others fell on good ground and yielded a crop: some a hundredfold, some sixty, some thirty. 9 He who has ears to hear, let him hear!”
These people heard the Gospel, got excited about it, probably went to Church and saw others excited, even made a confession.
But remember, WE can only see the confession, we can't see someone's heart. If they truly believe, and have been born again and filled AND sealed with the Holy Spirit.