Hi, there is always clock skew after CTS.
CTS builds a clock tree that will have (hopefully) minimal skew or uncertainty, hopefully it has skew lower than what you told the synthesis tool, otherwise you will probably get timing violations
When you do STA and set clocks as propagated, the tool figures out all of the different arrival times from the source of the clock to the destination CK flop pins. the tools uses these arrival times to check for setup/hold slacks.