You are correct that some theists don’t believe in hell. Others believe in a literal hell. Many more believe in a figurative hell. Some others believe hell is actually a misunderstood concept and that it refers not to suffering, but rather to cessation of existence (the way you asked).
Keep in mind that hell is not a strictly Christian idea. Many other religions believe in a hell concept and their concept of hell differs from the orthodox Christian one.
My own beliefs include a literal (but not fire and brimstone) hell, but that a person only suffers in hell in accordance to their crime, not for an infinite period of time. Hell itself, however, does last for an infinite period of time. It’s an eternal concept.
Depends on the theist.
For example, Buddhists think you’ll eventually get reincarnated (if you didn’t figure out how to pierce the illusion of life). If you performed good acts you might get lucky and be reincarnated as a Buddhist. (Technically, it’s not really lucky, it’s a consequence of the summation of the effects of your actions.)
For some Christians, both groups go to hell. Do not pass go, and if someone burns you $200, they go to hell, too. Others think only the first group goes to hell, while the second group will still be saved because they confessed belief in Jesus. He’ll just be disappointed in them or something.
There’s an increasing number of sects that believe non-believers who would have believed if approached in the right spirit (rabid Bible-thumpers screaming “convert now or fall forever, Riddick!” wouldn’t count) are counted as having believed. Luckily, God knows who you are.
Me, I believe we all go to heaven. Yep. Everyone. Unless you are one of the ultra-rare people who decide you don’t want to go to heaven. You want everyone to suffer eternally. SUFFER! Then you get what you really want. But, if you did bad and the penalty hasn’t been paid yet, you gotta pay the penalty before you get to go to heaven. Oh, heaven is custom tailored to whatever will make you the happiest in eternity. For most people, that does not include living in the presence of God. It would give you a constant inferiority complex. So you go to a heaven where you don’t get direct contact with God.
I chose it after I was born into it. I chose it because I know it’s true.
I don’t get pressured into participating in Taiwanese religious practices. I refuse on religious grounds.