Sorry I haven't had/noticed that feeling in skydiving, most people don't. Tandem jumps do have some differences from solo jumps, so it's possible you won't (for example tandem jumps involve a stomach drop feeling when you deploy as you release the drogue in order to deploy the main, dropping you faster for a second or two. Its called the trapdoor effect).
Either way, if you enjoy the rest of the experience, it will probably something you will grow to love or at the very least not really notice. When you are doing a tandem, you have nothing to occupy your mind and body, whilst jumping solo/fun jumping you will be focusing on exiting stable and (if doing relative work/freeflying/other disciplines) other tasks in your skydive. This could explain why most of us don't ever feel that dropping feeling you do, because we are hyper focused on other things.