Interesting question. I would say yes. But, there are subtle biases:
* coin always favours H or T. simple bias
* coin has some component of behaviour which can be on, off or reset. For example a liquid mercury component, which can bias the H or T outcome but the right kind of "flip" resets it to a known-safe mode so the coin has less to no bias.
* coin has bias which only manifests in skilled hands. a particular kind of flip.
The point I'm making is that probably, the bias is always assumed to be H or T favouring, but doesn't admit more complex coin bias where it could be 2 or more actors and 2 or more capable of biassing, and a pigeon who can't (or a dummy, and a pigeon: a good con generally has more people involved than you think)
* coin always favours H or T. simple bias
* coin has some component of behaviour which can be on, off or reset. For example a liquid mercury component, which can bias the H or T outcome but the right kind of "flip" resets it to a known-safe mode so the coin has less to no bias.
* coin has bias which only manifests in skilled hands. a particular kind of flip.
The point I'm making is that probably, the bias is always assumed to be H or T favouring, but doesn't admit more complex coin bias where it could be 2 or more actors and 2 or more capable of biassing, and a pigeon who can't (or a dummy, and a pigeon: a good con generally has more people involved than you think)