I don’t see this. For example, the mixed strategy of one-boxing half the time and two-boxing half the time generates very different results in the transformed problem than in the original Newcomb’s Problem.
Conventionally, you are not allowed access to a random number generator in Newcomb’s Problem—and so can’t use a mixed strategy. Any such usage would tarnish Omega’s reputation. Omega—being a mind-reading superintelligence—can fairly easily discourage such a tactic by punishing randomising agents economically—and letting the punishment strategy be known.
Conventionally, you are not allowed access to a random number generator in Newcomb’s Problem—and so can’t use a mixed strategy. Any such usage would tarnish Omega’s reputation. Omega—being a mind-reading superintelligence—can fairly easily discourage such a tactic by punishing randomising agents economically—and letting the punishment strategy be known.