Question

The universe began in a state of very, very low entropy. Seemingly, any (or almost any?) combination of laws of nature could have existed in the universe, and still that simply would have been the initial state from which the laws of nature operated.

Suppose, for example, that the weak nuclear force had not existed, and still the state would have been one of low entropy. Electron trajectories in quantum mechanics? They could have been completely different, and the entropy still would have been low.
In fact, take any of the constants of the laws of nature as they are called in the popular literature, and you could change it however you like, and still the initial state of the universe would have been one of low entropy.

Why do you mean when you say they are “special” in this sense of allowing low entropy?