Any possibility of dead short in trim pot
It's highly unlikely that you will end up with a dead short - the typical failure mode for a trimmer or pot would be open circuit due to an oxidised wiper or broken track.

The reason you would typically see a series resistor in a potentiometer circuit is for circuits where having zero resistance between the wiper and one or other end of the track would cause issues. In your scenario where each end is connected to a supply rail and the wiper to an ADC input, this will not be an issue.