Idea somewhat similar to what you describe exist but they make steering/post-training/interpretation much harder.
EDIT:
They link to a Meta paper from 2024/2025 though: https://arxiv.org/pdf/2412.06769/.
I don't know about Claude, but latest GPT versions still have a readable reasoning stream. It sometimes leaks out when the model gets confused, e.g., during a tool call. If you're curious, looks simplified; less words; extremely compact. They optimize tokens. But remain readable.