(thanks to @fivepiece for significant contributions to these ideas)
"On chain contracting" is of course a very generic term; it applies to multisignature, coinjoin, coinswap or other exotic transactions that involve more than one party in one transaction (coinjoin, multisig) or multiple transactions (swaps with atomic-via-secret).
Here we're going to focus on a broader model that may allow more complex setups, with a focus on how they may apply to gaining privacy, although this model may well be useful in other ways too.