No, you are denying what is written in scripture. Look at the chapters in Revelation to see what happens to those who are not written in the lambs book of life. Thrown into the pit is not simply ended.
Revelation 20:15 And whosoever was not found written in the book of life was cast into the lake of fire.
What happens to a piece of paper that is cast into a lake of fire? For that matter, what happens to a human body that is cast into a lake of fire?
Or a pit?
What does the word “death” mean to you? Christians are offered “eternal life”. What of those that do not spend eternity with Christ. Are they offered “eternal life in death”? That sounds a bit like an oxymoron when you understand the meaning of the individual words in the sentence. And Pat Robertson notwithstanding, it is not a “type of death”.
Read this and let me know what you think. It discusses the points you make:
http://www.jeremyandchristine.com/articles/eternal.php