In one paper describing results of survival analysis I have read a statement that implies that one can translate Hazard ratio (HR) into ratio of median survival times ($M_1$ and $M_2$) using the formula:
$HR = \frac{M_1}{M_2}$
I'm sure it doesn't hold when one cannot assume proportional hazard model (as nothing works if HR is not well-defined). But I suspect, that even then it wouldn't work for any survival distribution except exponential. Is my intuition right?