It's as if the only way you could think was by writing down a word, erasing all the thoughts from your head, then reading the word you just wrote down and deciding on the next word, etc.
Reasoning purely in latent space means that the model would still produce an output equivalent to tokens but unconstrained e.g. the output could be raw and opaque vectors. A significant downside is that you lose the ability to inspect the reasoning trace. It would also make the reasoning trace potentially larger which has operational issues.