Nope, you are confused with the MST - CST conversion or the relative vs actual change reference. You must have been inhaling to much of that high Altitude Air.....
A couple of hints on relativity
1 - Spring Ahead - Fall Back for the clock change references.
2 - Go West and the time is earlier, so
...if you travel in that direction move clock backwards
...However, it is later if you stay with your local time as reference.
3 - Go East and the time is later, so
...if you travel in that direction move clock forwards
...However, it is earlier if you stay with your local time as a reference