Ooops. Correction. Forgiveness by itself is EVIL!
When you do something wrong you should feel guilt. The guilt is good. The guilt motivates you to change. If you are simply forgiven and you do not change, then sin and evil remains.
So why is forgiveness even offered? It is because sometimes guilt paralyzes and makes you think you cannot change. Therefore Jesus says, “Your sins are forgiven, so go and sin no more.” Without the second part, the first part is meaningless. The second part is the whole point.

Salvation involves a destination.
The destination hardly matters. Wherever you go, sin will change it into hell.

Saved from what?
From sin.
God is not the enemy. Your greatest enemy is yourself. The enemy of mankind is itself and the self-destructive things people do.

Forgiveness negates judgment and without judgment there can be no reward or punishment.
Without judgement there can be no change. First you must accept that what you did was wrong. This is called repentance. Without that, forgiveness is wrong… doubly so… and thus evil.

So it depends on what you are emphasising:
Heaven and Hell (eternal life)
or
Guilt and the consequences of sin.
Sin creates hell. Guilt motivates repentance and change so it makes heaven possible.
But… Sometimes guilt can become too heavy and lead to despair. In that case forgiveness can open the way to repentance. But if forgiveness does not lead to repentance then it only confirms the sin and your situation is much worse than before – the sin owns you.

If Heaven is the reward for believing in Jesus then yes.
If heaven is the reward for having no sin, then no
Heaven is not a reward.
Heaven is a consequence of goodness.
Sin destroys goodness and creates hell… no matter where you are.

Are we proclaiming the forgiveness of sins?
Or
Are we proclaiming a faith in Christ Jesus as the means of that forgiveness
We are proclaiming Jesus who says, “Your sins are forgiven, so go and sin no more.”

It would appear that the result can mean either all go to heaven or only those who believe in Christ Jesus.
Proclaiming a belief in Jesus just like knowing the law entitles you to nothing. It is only doing what Jesus says or following the law which matters.
Romans 2:13 For it is not the hearers of the law who are righteous before God, but the doers of the law who will be justified. 14 When Gentiles who have not the law do by nature what the law requires, they are a law to themselves, even though they do not have the law. 15 They show that what the law requires is written on their hearts
Whether people know anything of Christianity or not, it is those who have the law of God written on their hearts who are in heaven.