The common phrase “time heals” has been used by many people as a way to not taking responsibility over their situations. Time, in itself, does nothing other than exist. It’s an illusion; a way for us to understand the reality around us.
Whatever agent it is that heals, it only does so within time, from our perspective. If the healing agent fails to act, healing does not take place. More often that not, for the healing agent to work, we have to actively use it.
As far as time is concerned. It does nothing. It’s indifferent. Otherwise, we would also claim that time kills, seeing as nothing lasts forever.