Wrong. Goku can only instant transmit to things that emit a Ki signature, enabling him to lock onto it. If he was in the narutoverse, he'd be the only one with Ki, therefore not being able to teleport.
As for your original post. It's 50/50 as you can argue both ways.
For example, when Minato uses FTG to teleport to one of his markings he has goes through another dimension and then reaches the marking. Now, to arrive at his marking, he'd still have to be able to detect it while temporarily in the "FTG dimension". So if he's able to detect his chakra source there, why wouldn't he be able to detect it while in the kamui dimension? you stated no manga fact about this, only assumption. Karin being unable to sense Obito is solely due to her and independent of how Minato links his chakra to FTG.
Edit: Before you say "where's your proof that there is a FTG dimension" for the sake of your argument. I'd say you don't need manga proof. It could be one of those things Kishi is yet to reveal, and even then, it's clearly explained via the technique. When he teleports, it's clearly obvious that he isn't in real dimension for that precise moment. Therefore, the only logical explanation would be he'd be in another dimension. Manga proof for this? All the occasions when he's used FTG. When teleporting the kyuubi's TBB. Where did it disappear for that split second before being redirected behind the village? another dimension ofcourse.