There is some variation in the level of detail shown with specific modeling techniques. For example cycle accurate models generated by ARC VTOC from Verilog RTL will show the value of every state holding register in the model on each clock edge, and any asynchronous signal edge. Hand-written cycle accurate models within ARM SoC Designer will typically only show the state on the active edge of the clock cycle, and that state will be restricted to the external ports and defined internal registers.
Most cycle accurate models follow 2-state, zero delay synthesis semantics. In this way they are closer to the behavior of the actual chip than traditional 4-state event-driven simulation. However there is no absolute reason why cycle-accurate models could not follow 4-state simulation semantics.