No, I have always recognized the worker/labor has his/her part.
Your point, however, is indicating that God losses people rather than people losing reward.
Only if you think Paul is teaching in 1 Cor 3 that it's people that are burned up rather than some people's works/labors that has the potential to be burned up.
That would be isolating an entire doctrine on 1 verse, which would be like saying...
For by grace you have been saved through faith, and that not of yourselves; it is the gift of God,
and teaching that it is impossible for a person to lose there salvation, because were are saved...
However, if you go on to read what Paul writes in the next chapters, you will see the truth.
9 I wrote to you in my epistle not to keep company with sexually immoral people. 10 Yet I certainly did not mean with the sexually immoral people of this world, or with the covetous, or extortioners, or idolaters, since then you would need to go out of the world. 11 But now
I have written to you not to keep company with anyone named a brother, who is sexually immoral, or covetous, or an idolater, or a reviler, or a drunkard, or an extortioner--not even to eat with such a person.
1 Corinthians 5:9-11
By this clear explanation, I hope you can see that Paul is speaking to Brothers, in the Church at Corinth, born again Christians.
9 Do you not know that the unrighteous
will not inherit the kingdom of God? Do not be deceived. Neither fornicators, nor idolaters, nor adulterers, nor homosexuals, nor sodomites, 10 nor thieves, nor covetous, nor drunkards, nor revilers, nor extortioners
will inherit the kingdom of God. 1 Corinthians 6:9-11
Paul is warning Brother's in Christ, who are in the Church in Corinth, that they are in danger of not inheriting the kingdom of God.
Not "rewards" in the kingdom of God, but the Kingdom of God itself.
Paul makes this warning to the Church in Ephesus, Galatia, Corinth and Rome. Not in inheriting the Kingdom of God means =
sentenced to the everlasting fires of hell.
JLB