Naively that's true, but if you consider a distribution grid with a series of transmission line segments at a given voltage, after each segment the voltage is increased to normalise it to the target transmission voltage. Each stage results in a proportional loss of power transmitted, resulting in an exponential loss as distance increases.

Achieving a linear transmission loss ignores bounds on the source voltage. In this case, you may as well choose a transmission voltage of infinity and say resistive losses are constant because current tends to zero.