The space-charge-limited-current-density (SCLCD) for a 1D vacuum diode for zero initial electron velocity, $u_0=0$, in vacuum is given by the Child-Langmuir law, $J_{CL}$. For electrons with $u_0̸ne0$ in vacuum, Jaff´e modified $J_{CL}$ to obtain the SCLCD as $J_{Jaff´e}$. For current densities $J>J_{Jaff´e}$, electron reflections occur along with virtual cathode (VC) oscillations. Past studies have discussed hysteresis in diodes by sustaining these oscillations until $J=J_{hys}$, often claiming $J_{hys}\approx J_{LD}<J_{Jaff´e}$, where $J_{LD}$, also called the bifurcation solution, represents the steady-state current density where the electron velocity is zero at the VC. In this study, we demonstrate that $J_{LD}$ is not a valid steady-state solution since it represents a higher charge density than $J_{Jaff´e}$, the true SCLCD. We further demonstrate that $J_{Jaff´e}$ mathematically corresponds to the static bifurcation solution. Using particle-in-cell simulations across various gap distances and voltages, we demonstrate that $J_{hys}$ consistently differs from $J_{LD}$ and can be represented by a simple semi-empirical relationship as a function of $J_{Jaff´e}/J_{CL}$.