I am constantly surprised when others report they hear important differences between two different load resistances, using LOMC or LOMI cartridges, that are numerically very close to each other on a scale of 100 to 47K ohms. Like 725 vs 525 ohms or 800 vs 1000 ohms.
You make too many assumptions.
I agree on the MC that if small changes are audible, as Atmasphere has pointed out, it is more likely that the target phono is reacting.
However it is a different electrical model with a MI such as the Soundsmith.
I ran the Paua through 4 phonos in one afternoon, including the Soundsmith phono, and 3 others, both transformer based inputs and solid state and small changes in loading 700-800-900-1000 ohms were quite audible in all 4 phonos. If I recall correctly all 4 phonos sounded best with the same loading, in my case 800 ohms.
Paua owners please be aware that the Paua has undergone electrical changes through its lifetime, the inductance and other design parameters have changed over time so it pays to experiment - or follow the guidelines by Soundsmith.