Any chance you might mind measuring a 1k carbon or metal film resistor, 1/2 watt or so if you've got one handy? Basically any of the modern types that have a spiral cut in the resistive material to set the value. Curious how much inductance they actually have and if its enough to truly make them unsuited for use as grid stoppers in tube gear.
I did an assortment of 8 in various sizes and resistances around 1K - 800 ohms to 1.5K. 1/4W, 1/2W, 1W, tested from 10 KHz to 10 MHz. I did an open and zero cal on the instrument first. A couple of carbon comps in there for comparison.
None (except for one, discussed below) showed any appreciable inductance; any inductance they had was overcome by the 0.2 pF or so lead capacitance. Note that the 4275A will display the dominant reactive component, so there could be 50 nanohenries or so of inductance but the lead/stray capacitance is greater. Theta (phase angle of the dominant reactive component) was about zero until 1 MHz or so then climbed to about 3 degrees at 10 MHz. Again, that's due to the capacitance of the component.
There was one precision 1K, 1W, 0.5% resistor that acted kind of screwy. It was the only one that had a dominant inductance, but even that was about 300 nH. The leads were fairly corroded on this one and its theta climbed much more rapidly as the test frequency increased. It was about 10 degrees at 10 MHz. This one might have been wirewound, it had a ceramic body
I think it's safe to say that the spiral trimmed resistors have no impact at audio frequencies. Once you get to RF all bets are off, but even so, lead inductance and stray capacitance seems to dominate.
Perhaps another audio myth busted...?