Assuming both of them can produce values (are formulated in such a way that they can produce a new value with just the past values + the environment)
The second theory has the risk of being more descriptive than predictive. It has more potential of being fit to the input data, including all its noise, and to be a (maybe complex) enumeration of its values.
The first one has at least proven it could be used to predict, while the second one can only produce a new value.
I would thus give more credit to the first theory. At least it has won against ten coin flips without omniscience.
Assuming both of them can produce values (are formulated in such a way that they can produce a new value with just the past values + the environment)
The second theory has the risk of being more descriptive than predictive. It has more potential of being fit to the input data, including all its noise, and to be a (maybe complex) enumeration of its values.
The first one has at least proven it could be used to predict, while the second one can only produce a new value.
I would thus give more credit to the first theory. At least it has won against ten coin flips without omniscience.