Temperature relation for isomerism reactions
The van't Hoff equation would predict that the equilibrium constant is not dependent on temperature, since in this case:
$$\frac{\mathrm{d}}{\mathrm{d}T}\ln K_{eq} = \frac{\Delta H^\circ}{RT^2}=0$$
Strictly speaking the equilibrium constant is a function of fugacities, but it is probably safe to assume that the pressures are also independent of T, so the answer would be yes.