Does Tuned have access to my funds?

No.

We are only interested in helping you make trades.

So while Tuned's communicates with exchanges via an API key, we've elected not to build functionality that would enable withdraws or transfers. You'll see in our API guides that we put heavy emphasis on keeping these settings disabled.

We do this to both disincentivize malicious actors, and to reduce impact in the event of a breach.