How to find current through series of potentiometers, and if it is safe for potentiometers? (Arduino)
You are just fine with the numbers you gave. With 10K pots you would need 70 volts across the CW and CCW pins or center tap to cause damage by heat, but at 50 volts the pots would get warm enough to have significant drift in value. As it is pots can have a drift as much as \$200ppm^oC\$.

At 10 volts they will stay close to ambient temperature, so ambient temperature will dominate any drift in value. Be sure the center wiper goes to a high resistance load or a buffer, even to drive LED's. LED's should always have a series resistor to limit maximum current flow.