I think the main reason I'd like it to is curiosity. Wouldn't it have been fascinating to live in 1600 AD and see what life was like in 1950? It probably would have also been interesting to live in 110 AD in the Roman Empire and see the world in 610 AD... though not necessarily in a positive way. But still interesting.
Admittedly, in real time the differences are less drastic than if you could travel in time, which I am not assuming would be possible after death either (though it would be cool if it were). But even so, there's enough stuff changing nowadays to satisfy me. If there were a nuclear war that changed the pace of progress back to the Stone Age rate, maybe there wouldn't be anymore, and I'd have to find something else to observe, but there's the tradeoff.
And if the afterlife isn't connected to this Earth in any way, I'd still like to see it. Again, curiosity being a main reason. Might as well, right?
The chance of a tortuous afterlive isn't appealing. But I choose to be an optimist that that wouldn't be the case. It helps that I consider myself basically a good person.
I wouldn't like it. Living to see everyone you every knew and loved shrivel away and die before you would be too painful.
You don't have to live after death for this to pretty much happen to you. You just have to live healthily to an older age than almost everyone else you've been interacting with for decades.
I know that sounds really... negative. But it is one of the unfortunate parts of being blessed with good health till old age. I guess the moral of that is to make friends with people who are significantly younger than you from time to time. Not that it prevents it from being painful, but at least that way you do still have healthy friends. And hopefully later generations of family as well.
(By the way, I'm not actually super-old. Just observations from real life. Despite the sad reality of that aspect, I still think I'd rather be healthy to a ripe amcient age than to have average lifespan and health in old age)