The wording isn't especially clear.
For example, in the Shooting phase:
Run rules, p. 14 wrote:In their Shooting phase, units may choose to Run instead of firing.... Models in the unit may then immediately move up to that distance....
Turbo-boost rules, p. 45 wrote:Bikes and Jetbikes cannot Run....
So the question becomes "If it's a Unit that chooses to Run, but part of the unit cannot Run, what then?" For myself, with mixed unit, I choose not to Run.
One part is pretty clear, though - a turbo-boosting bike doesn't get to make an Assault move. "Bikes and Jetbikes therefore cannot...execute any other voluntary action for the rest of the turn after Turbo-boosting."