As much as I love this episode, I don't find the "living a second lifetime" to be a big deal long term. It's like waking up from a super realistic dream, only on steroids. Captain Picard probably felt extreme disorientation upon first "reawakening" aboard the Enterprise, but his reactions in the next few moments are not those of a man who had just lived a literal lifetime as someone else (I reckon that would lead to a reaction more akin to that of Soran from Generations, and would have completely broken Picard altogether). In fact, it seems as time goes by, he recovers rather quickly, readjusting to his new/old environment with relatively few issues other than just getting used to being "awake" again. This also lines up with the fact that I doubt the Ressikans or Kataanans (whichever you want to call them) meant for there to be any lasting harm, and likely designed the probe to have just enough impact to leave a mark, but not to totally derail the life of the person the probe encountered. They just didn't seem that sinister to me.
Either way, I feel that time would eventually degrade Picard's memories of the event, and he would naturally heal, but I also feel he would write a full report including every memory he could muster regarding the experience while it was still fresh.