The resistance of thermocouple wire is signficantly higher than the resistance of copper wire (except for Type T which is copper alloys).
The resistance of a 'good' T/C junction does not change over a temperature gradient, where good is the condition of a new thermocouple whose junction has not become polluted.
At high temperatures metallic ions migrate from the environment (the protection sheath or tube, contact surface or atmosphere) and pollute the chemistry of the junction, which increases the resistance of the junction.
When a junction gets polluted, it is no longer the same Type thermocouple as it was initially; it is now its own (unspecified) Type thermocouple (whose junction is some random chemistry of alloys). The bad thing is that the mV it generates at a given temperature is an unknown - the pollution of the junction causes the thermocouple to 'drift' because it is still a thermocouple, but there is no longer a fixed, known, established relationship between mV and temperature because the relationship is based on the two original dissimilar metals, not the chemistry of polluted junction.
There is no way to compensate for the drift error a polluted junction, but a polluted junction can be detected because of its increase in resistance.
Some vendors who provide direct connect thermocouple inputs on their AIs in transmitters, controllers or AI modules detect a drift situation by periodically measuring the junction's resistance by driving a current pulse through the T/C and measuring the resulting IR/voltage drop.