thoft - the heat effects apply to all speakers, somewhat more so to first order due to the drivers operating over broader ranges. Your crossovers are inside the cabinet where ambient temperature gradually rises and the XOs are often behind insulation. There might be trouble since your driver voice coil was toasted, usually by under powered amp driven into clipping.
If there is any permanent damage to your XOs, it would usually be obvious via inspection such as popped caps or charred resistors. If it sounds OK it probably is OK. But since your drivers were toasted, It wouldn't hurt to look around.
