Recurrent KV-cache sharing may undermine the bounded-depth argument for CoT monitorability

Recent discussion of recurrent-depth/looped transformers (especially in the context of OpenAI's Astra model) has mostly focused on the number of recurrent passes per token. The usual reassurance is that if this number is small, the model only gains a bounded amount of opaque computation before it must emit another readable CoT token.I think this may miss an important distinction: some recurrent KV-cache policies can create cross-token paths from later recurrent depths back to earlier recurrent d...