I don't know, but you may find it interesting to consider the 3 different types of probability(Karl Popper):
Intuition/Psychological/Subjective: Like 'there is a 70% chance I go to the gym today'. (They are probably similar for both GOP and Dems)
Subjective but relational: 'there is no clouds in the sky, so its unlikely to rain' (Trump's regime is more corrupt, so its likely to be more misleading than Obama)
Objective: 'there is a 1/6 chance I roll a 5 on the dice'. (There is no objective way to know)
Sincere question: do we have any stats on how (party in office) correlates with (government publications containing lies and/or misleading info)?