@journeyman: What you describe as JW theology, very few people actually know how to answer those 'difficult' questions. So if a kid asks a logical question, then parents often don't even know WHAT they believe because they've been trained that asking questions is wrong, and looking up answers to those questions on yourself is hard.
Unlike my kids in church, they go to Sunday school, have a pretty good knowledge about what they believe and what the Bible says. My other kid is raised with her JW mother, doesn't go to Sunday school, doesn't know at all what to believe, especially because we do go to church, she hears the things and it makes sense but in some places conflicts, she has a very hard time right now because the JW tell her a parody of what "Christendom" believes about hell and souls, then she goes to church and it actually all seems to make sense and not at all the parody that JWs hold other Christians to be.
It's a really weird thing, and something a lot of ex-JW's either experience or "don't want anything to do with religion" they'll never experience it and keep a really wrong JW idea about what churches are and do. Most churches are not at all like JW, they are not at all like what the media or the JW parodies them to be. And that is the same for most other religions, I have a Buddhist friend and when I first left JW and met him, we talked about his believes, all I knew was from that WTBTS conversion literature which I knew backwards and forwards because I was in the foreign language field for years. So I asked him if that is what he believed and he looked really weird and said, no, that's actually a really old and anti-Buddhist propaganda that people like Mao used to prosecute them. That was eye opening to me, he invited me to Temple and yes, it is not at all what the JW books told me about. So as an ex-JW, if you're interested in other people's religions and having conversations with them about it, first re-learn everything you know by visiting their 'churches' and talking to them.
So yes, the question is valid, if you don't have a soul, then 'what' goes to heaven if you're anointed. It can't be the fleshly body, which the explanation of God will just reconstruct a body, although not supported by the Bible, is a possibility, but if your body doesn't have a soul and the spirit is just your animating energy which dies when you die, then "what" goes to or becomes created in heaven, because even the JW believe that there is no 'flesh' only 'spirit' in heaven. The explanation that at the very end, God converts their soon-to-be-dead body/spirit/soul (which they claim is all the same thing) into something like a soul that then goes to heaven is a valid explanation, that actually fits within the Biblical interpretation of souls/spirits.