Nor were they ever even implied to be once-saved people in Jesus' seed sower parable either.
Ok lets examine the parable of the Sower.
I will point out what I see, and you point out what you see.
Those by the wayside are the ones who hear; then the devil comes and takes away the word out of their hearts, lest they should believe and be saved.Luke 8:12
Jesus said... lest they should believe and be saved.
The devil snatch away the seed, before it could be received into the ground, grow a root system, and sprout up, which Jesus associated with believing.... as he said lest they believe, and be saved.
These by the wayside, never received the seed into their heart.... as they never believed.
13 But the ones on the rock are those who, when they hear, receive the word with joy; and these have no root, who believe for a while and in time of temptation fall away. Luke 8:13
The second group did believe, and did receive the word and was joyful at receiving the seed.
Jesus said the key to being said was to believe. These folks believed... for a while, then fell away.
The problem came when the sun came up, and things began to "heat up", which represented persecution and tribulation, because of the seed, the message of the kingdom.
20 But he who received the seed on stony places, this is he who hears the word and immediately receives it with joy; 21 yet he has no root in himself, but endures only for a while. For when tribulation or persecution arises because of the word, immediately he stumbles.
Matthew 13:20-21
Jesus plainly said... Those who endure to the end will be saved. Matthew 24:13
These in this group never did produce fruit, [because they no longer believed, and therefore no longer did they abide, but fell away from the faith, under persecution.
JLB