Color Managament

Is anyone able to tell me how Team Viewer handles colour managment, if at all?

I work with colour sensitive graphics which require the use of a calibrated monitor. If I calibrate the monitor with a Spyder calibration tool, should the resulting colour profile be run on the client machine, or the host? If the latter, presumably this would mean that any monitor connected to that machine locally would display inaccurately as it would be showing the colour profile for a different monitor.

Hopefully it isn't colour managed at all which, as far as I know, would mean that I could just run colour profiles for each locally connected monitor on the respective computers.

TIA.