Yeah, use a carbon film in place of a wirewound in a high temp environment where the TC and noise properties can play games with any measuring circuit, especially older ones. Or nevermind the widely varying high frequency characteristics of each type of resistor. You simply made my point, figure out what the circuit is doing. Or if the equipment is not doing anything important that could hurt life or limb, put it in and see what happens. Chances are nothing, it very well could be fine. If I tell my purchasing agent to buy any resistors with only a resistance and wattage spec, who knows what he will deliver.
BTW: His component is probably a thru hole part but most resistors made are not thru hole parts. Also, I was not disagreeing about the statements made about capacitors. Obviously ESR values, polarity, and frequency of operation can have a significant effect on circuit performance, again depending on the application.
Breath melone breath.