The CIA-run media did with Watergate exactly what you want to do here.
They used the fake details to cover up what really happened.
Eh?
Here are some of the Watergate details that mattered:
—The original Watergate break-in involved several CIA agents
—One of them left tape on the door to make sure they were caught
—Nixon never authorized the Watergate break in—CIA agents did
—The Ellsberg break in was intentionally botched by a CIA agent
—The White House taping system was run by a CIA agent
—The CIA waited for Nixon to ask them to help bail him out—instead they taped him and testified against him
etc etc etc